{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PCA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "计算不同特征的重要性，达到降维的目的"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "np.random.seed(42)\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu_vecl = np.array([0, 0, 0])\n",
    "cov_mat1 = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]])\n",
    "class1_sample = np.random.multivariate_normal(mu_vecl, cov_mat1, 20).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu_vec2 = np.array([1, 1, 1])\n",
    "cov_mat2 = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]])\n",
    "class2_sample = np.random.multivariate_normal(mu_vec2, cov_mat2, 20).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113ef9278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%pylab inline\n",
    "from matplotlib import pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from mpl_toolkits.mplot3d import proj3d\n",
    "\n",
    "fig = plt.figure(figsize=(8,8))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "plt.rcParams['legend.fontsize'] = 10   \n",
    "ax.plot(class1_sample[0,:], class1_sample[1,:], class1_sample[2,:], 'o', markersize=8, color='blue', alpha=0.5, label='class1')\n",
    "ax.plot(class2_sample[0,:], class2_sample[1,:], class2_sample[2,:], '^', markersize=8, alpha=0.5, color='red', label='class2')\n",
    "\n",
    "plt.title('Samples for class 1 and class 2')\n",
    "ax.legend(loc='upper right')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 1. 连接两种类别数据\n",
    "all_samples = np.concatenate((class1_sample, class2_sample),axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算每个维度的均值\n",
    "mean_vertor = np.mean(all_samples, axis = 1).reshape(-1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Scatter matrix:\n",
      " [[22.16567148 12.53976465  2.79387084]\n",
      " [12.53976465 60.31432017 16.34412085]\n",
      " [ 2.79387084 16.34412085 58.05790884]]\n"
     ]
    }
   ],
   "source": [
    "# 计算scatter矩阵\n",
    "scatter_matrix = np.zeros((3, 3))\n",
    "m, n = all_samples.shape\n",
    "for i in range(n):\n",
    "    scatter_matrix += (all_samples[:, i].reshape(3, 1) - \n",
    "                       mean_vertor).dot((all_samples[:, i].reshape(3, 1) - mean_vertor).T)\n",
    "print(\"Scatter matrix:\\n\", scatter_matrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算协方差矩阵(或者 scatter matrix)\n",
    "# 两者很相似, 特征空间是相同的，只是缩放比例不同。 (缩小39（N-1）倍)\n",
    "con_mat = np.cov(all_samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算特征向量和相应的特征值\n",
    "eig_val_sc, eig_vec_sc = np.linalg.eig(scatter_matrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "eig_val_cov, eig_vec_cov = np.linalg.eig(con_mat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(len(eig_val_sc)):\n",
    "    eigvec_sc = eig_vec_sc[:, i].reshape(1, 3).T\n",
    "    eigvec_cov = eig_vec_cov[:, i].reshape(1, 3).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 对特征向量进行排序\n",
    "eig_pairs = [(np.abs(eig_val_sc[i]), eig_vec_sc[:, i]) for  i in range(len(eig_vec_sc))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "eig_pairs.sort(key = lambda x: x[0], reverse=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "77.82139338426461\n",
      "44.42288106224649\n",
      "18.293626039055123\n"
     ]
    }
   ],
   "source": [
    "for i in eig_pairs:\n",
    "    print(i[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 选择最大的k个特征向量\n",
    "matrix_w = np.hstack((eig_pairs[0][1].reshape(3, 1), eig_pairs[1][1].reshape(3, 1)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.19917457, -0.2404384 ],\n",
       "       [-0.74116832, -0.59724276],\n",
       "       [-0.64109204,  0.76517348]])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 将样本变换到新的子空间\n",
    "transformed = matrix_w.T.dot(all_samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 40)"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transformed.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.41168368,  0.45874229],\n",
       "       [ 0.02030158, -0.40550384],\n",
       "       [-0.58236106, -1.19727759],\n",
       "       [ 0.53398199, -0.21004346],\n",
       "       [ 2.47570107, -0.23534563],\n",
       "       [ 0.66121026,  0.98055529],\n",
       "       [ 0.28799431,  2.18328759],\n",
       "       [ 0.90831386, -1.07622497],\n",
       "       [ 0.76410771, -0.81606697],\n",
       "       [ 0.55734742,  0.04519856],\n",
       "       [-1.24435229, -0.97191408],\n",
       "       [ 0.38369804, -1.17110186],\n",
       "       [ 2.26233461,  0.10388722],\n",
       "       [-0.69640063, -0.35725036],\n",
       "       [ 1.1940714 , -0.92368753],\n",
       "       [-0.19292712,  1.25707326],\n",
       "       [ 1.03050183,  1.2183244 ],\n",
       "       [ 0.18627094,  0.96491381],\n",
       "       [-0.35756854, -1.44623918],\n",
       "       [-0.80934894,  0.6229631 ],\n",
       "       [-0.63912851, -0.6929505 ],\n",
       "       [-2.81487408,  0.76759007],\n",
       "       [-2.54272113, -0.37783214],\n",
       "       [-2.70682146,  1.04362777],\n",
       "       [-1.05446588, -3.00292531],\n",
       "       [-1.61796232, -0.55090532],\n",
       "       [ 0.01424167,  0.92440356],\n",
       "       [-2.41567202, -1.4375994 ],\n",
       "       [-1.63537416,  1.12199742],\n",
       "       [-1.58332399,  0.55758201],\n",
       "       [-1.86861865, -1.21155747],\n",
       "       [-0.28730704, -0.87938419],\n",
       "       [-1.83717866, -0.29570705],\n",
       "       [-0.21601082,  0.50734936],\n",
       "       [-0.81515344,  0.3656368 ],\n",
       "       [-3.17181328, -1.16258558],\n",
       "       [-0.34744652, -1.55816325],\n",
       "       [-3.19995969,  1.78270277],\n",
       "       [-1.74436542, -0.23291421],\n",
       "       [-2.67774634,  0.10130396]])"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transformed.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a205389e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(transformed[0,0:20], transformed[1,0:20], 'o', markersize=7, color='blue', alpha=0.5, label='class1')\n",
    "plt.plot(transformed[0,20:40], transformed[1,20:40], '^', markersize=7, color='red', alpha=0.5, label='class2')\n",
    "plt.xlim([-4,4])\n",
    "plt.ylim([-4,4])\n",
    "plt.xlabel('x_values')\n",
    "plt.ylabel('y_values')\n",
    "plt.legend()\n",
    "plt.title('Transformed samples with class labels')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 使用sklearn实现\n",
    "from sklearn.decomposition import PCA\n",
    "pca = PCA(n_components=2)\n",
    "transformed_pca = pca.fit_transform(all_samples.T)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.24307905, -0.58889331],\n",
       "       [ 0.67506431,  0.27535282],\n",
       "       [ 0.07240167,  1.06712657],\n",
       "       [ 1.18874471,  0.07989245],\n",
       "       [ 3.1304638 ,  0.10519461],\n",
       "       [ 1.31597298, -1.11070631],\n",
       "       [ 0.94275704, -2.31343861],\n",
       "       [ 1.56307658,  0.94607396],\n",
       "       [ 1.41887043,  0.68591595],\n",
       "       [ 1.21211014, -0.17534957],\n",
       "       [-0.58958957,  0.84176307],\n",
       "       [ 1.03846076,  1.04095085],\n",
       "       [ 2.91709733, -0.23403824],\n",
       "       [-0.04163791,  0.22709934],\n",
       "       [ 1.84883412,  0.79353652],\n",
       "       [ 0.46183561, -1.38722427],\n",
       "       [ 1.68526456, -1.34847542],\n",
       "       [ 0.84103367, -1.09506482],\n",
       "       [ 0.29719419,  1.31608816],\n",
       "       [-0.15458621, -0.75311412],\n",
       "       [ 0.01563421,  0.56279948],\n",
       "       [-2.16011136, -0.89774108],\n",
       "       [-1.8879584 ,  0.24768112],\n",
       "       [-2.05205874, -1.17377879],\n",
       "       [-0.39970315,  2.87277429],\n",
       "       [-0.96319959,  0.42075431],\n",
       "       [ 0.66900439, -1.05455457],\n",
       "       [-1.7609093 ,  1.30744838],\n",
       "       [-0.98061143, -1.25214844],\n",
       "       [-0.92856126, -0.68773303],\n",
       "       [-1.21385593,  1.08140645],\n",
       "       [ 0.36745568,  0.74923317],\n",
       "       [-1.18241594,  0.16555603],\n",
       "       [ 0.43875191, -0.63750038],\n",
       "       [-0.16039071, -0.49578781],\n",
       "       [-2.51705056,  1.03243456],\n",
       "       [ 0.30731621,  1.42801223],\n",
       "       [-2.54519696, -1.91285379],\n",
       "       [-1.0896027 ,  0.10276319],\n",
       "       [-2.02298362, -0.23145498]])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transformed_pca"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a205a56d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(transformed_pca[0:20,0],transformed_pca[0:20,1], 'o', markersize=7, color='blue', alpha=0.5, label='class1')\n",
    "plt.plot(transformed_pca[20:40,0], transformed_pca[20:40,1], '^', markersize=7, color='red', alpha=0.5, label='class2')\n",
    "\n",
    "plt.xlabel('x_values')\n",
    "plt.ylabel('y_values')\n",
    "plt.xlim([-4,4])\n",
    "plt.ylim([-4,4])\n",
    "plt.legend()\n",
    "plt.title('Transformed samples with class labels from matplotlib.mlab.PCA()')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 压缩图片"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [],
   "source": [
    "srcImg = plt.imread('./lena.jpg').mean(axis=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1a2593c940>"
      ]
     },
     "execution_count": 120,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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xKBN8QhPqBZcyNAzFfch+Y2bty0RWr5XgHJfGJbjMB8Q2r/BRkGs7x6/FjJhS/VzXF94kaw4C+BJuzTqMEqVRqNyHJMHtpnupPEZQ/KUNo0rI5kdqZK4x7yUK4bcmXks5WpIaKLqLsDVtBmTSNkc+XA9xYdd1PbjszqVWKrocB48PEU0O8TYJCsmoyTEmcyUKpArtSBw9w7YhzKK5EblptKgHXiEKEjJSAEMLTqFJSBd4760TvukjP3ITjv2WpeuIOI79hhcXkfSM4+9/+ibLd6RyLuMiR20W1sntpS04NfowimlfMC3CPqIrhrOgODcIN16C2//skfEJywXxaEFqPa6PuKsderBE/R6M+hDtk4EYgDR4JBNDkqGy92bF4+iMLGoNBvom0jYj4+gJPuG8rQrj4M19UGPeJZ+jwURAxTf1vdJcmzvht4oGYZxbKLKIc8CQwTgX4kxwg1aIK5r9XDFDANnyZ85Aok3UFHI4Uya3oa4SQSs/kYorkPULaabG/qvUAVHheD9xCDgzCtVd3hPHyGATsrD9ZYUuUNZ3eYUep8EGmAsRp/s0kszZ9QqhWVh9tXssCEjGYpyKIYCiFXGjDfg0m4gyXGbW82eqM15Gg/EObpz6O6zNUI8HFi7e1z/o3v34YJ06DB7vjYdKydzKyi2okDIfVYhHxEhH3yRcRkiujTnylftGzCAQFAaHzhLSO96/OOS0XzKoZ6cNEYeXxLFfcxS2tJ+7tMhLnFCSuky2KlUZ6QbJ/NH0TIpx9D2ViE7LZMiyE46/C8ev7JBdjwaPzlv8e2e4bsRdbtFZQIN7TCPxYdonxjC4NiJiPqGEREpGEqXoaOcjqoJvzFWYzUb6ISCi9EOgaWLlFHab1ogmUWazgX3ZsO8AsciEG7VGJyxklH3eLBKCHMIsBmGPSIMM83NYrQhMimhJkq1+hV8o1xOdrl9IxTJZDU7mFTPZCmI+PZVslGGazK7P1y2D1impEFtjcR+oyKVZyzT5MkNuUYx8b3mC1tBXgObCgUoVI5EnkGbjVXgP12VEkgU2hZ+oxqFEQIYCo6X2SZxnd0Um10y9EXJFw1B4mdp3GQGhWc8wuDrJU5I6kUWUGE3jkLI0PiWpbkQhIFMWQTXz0e45kSXXVJBXpfdq48UMhEG/3aMF33pwl/v9IV2y0KUjMXcDX1i8wx99/hXG33+N77WGhEVNlxHnOcKgxV0wfmk4zDyTGs+SsritaBX8lePGS/DUL79J+9Yp2gRk1yPbDpqAu9hUwlHGhPR7PtmHmY8f6eiPsXk/8QPl/1TVbWR2OdHORoJLj503ZgWkZuNQkEbXlY4xBBFnWQKdB9mwFMalIElrhEFdRgpL8DtlXNlk7A9lmjR5gPiB7FJkCXOB5EwoYJ94MmViRjNxmkQl2uBiJugARI2BbuwaRWVYeAKgKihFydA86yLKStSaPFbU4uOF1PIlRJomktRySbIhETMU44Ex8FXr70ygU9wZkrkEJS5f9RslAOKo5GNFDwOVCKb40zl6UlbRcG2cg+8mjic1k4Hw2xzGrHkREEdHHH1FBSWqZbqEhBNDY5WrKnL7xsKQLiSGXSAV2XSTCG3EBwuD1lyLstBkFaYuIzSJy4crzodlDV/utGXQQCuRG2HDl595h3ExocbkbYwZuWpRCN9NhjdssmZEHw8jI+C3jhvfgdu/fgbegQjEiB4fwDCSjlfQNsiYQATZdujyoykfPzGGoUQTxJlSzYeEayPtbCCOEyxUhX70zNsB7w3mxdHX1QIg5ZVgsehx3qxwypEAv9PqbyPmVpTwY5zZwyqr9bg0WFfCjrAHszPzjk66hBSmFbiskG6gatvdmNFF5hzClscSbFKzxzS3WY+Q9QFFSFQiAmTupOgQ/Nbgvu/2uAClaheKnFqihVIrPN1jxU33IPV3QSnTDUplz5OHqsLCXBV1OqGZwjHsI5JiJH2G0XU1poZHK9koWg2Cy3H/GvnJx6ZGkXWwiAHQtCawSNEQRBw9KTrGPlTZc1EwaqK6ESmZoM5lA+Gy6ClFR0rCsGnxbTRXdzHCkKMUo9hPFBgcr17d4lF/QEQY1ONJRBzPzx7xuYOHXP3+LvdT0WTYVy0GoaCBEvqO8wm1lO/sOuHk63Dn105xV1t0MYOU0NUc2Xakm0dIX4QmClGJxyvi8qOFKz8R5GNRmxWDHGYj4+BxLjH0wdSPGQmUyd+PnmHwNE2sWZkpCr6JJpZS6LpAGpwN8qo3gGad6A8cYaN0xw6ViRsoq1TYKuotkhDWSliDOpmMRHlYocDdksCijw/eEoPHrusyUjCtA1UA5HemxEyZp/Bbl+P2k2qxTC6JUg1KCXsVo2FhSKm+6X5ISzJCCJmU1AyXizFzFflg0DmHIgtCIcuGCxdQjSSgrfEecW9hEinGQqomwsheOy7OJv5BoqBJs3hMJ35jmEKfbmvEnRGvkIJFOLT3SBvZXbc1uuCckkRxPmX3YCIpi5IWFWLv8LPsxg4OVRNBCVoVuGCIRMRC6mQtDdnIS+dRr7z25p2KZj+7eED0jkZGbvgNX1m+zusvnvBrm89z8L1Q3aHyPWFKPitGMC4y59TYouO3wuFrcOtr7yPDiM5aZNeDc0g/Em8dkoLDX3XEwxnh0TW0ARz4zQ+gK6EKLjPGBQ6KS2gyZ9W5RJP1CiI24LxPeK/0XTOFn/JKUVYyTaaBkNEmnK3YNok1C5tq7sRuUgeGLaiIKSOjHVfOmVJ/qcenhgrT3SC4KDVC4Xuq1S9hpyKDdZmM+iCh11wahCyTOqztNd9ZdmOB+3Z89r1Tht/bia3eF1gVBSQK46FORiwjGb+VOlirIAqmSQ3mOrRaIyflfXM97J5dzN8r35fP4VLIcnHJA5691b/ka2Dnmi/yGCCpYVQz7PbdqmpzNBFSQQMpCUMfqnsBGZHucQ8AaZSasWtughkFC1Xa+9TnkvtcbfyRRXbFzZNekGvP+1cWImwk1uSqpetwknhqdsXt58+NiKzjrCC1/DHBRF9FuGZKWaU9dxy/DHf+xfVjocd0uCAdzEkrQw7hfAPB2W9VtPFIVGS946O0T4RhKKRjFZoAqOVJhDDxCaZqNJn0MARDClno5HyORYsZmRDSFJ4iD/DMgrdXiflpFkhtySrGyWJLNH8+NdOkqPUR0hSTHlf2niUMaSYS82vdJPEtJCJAWLsq4inQ3vIBJr4gLnPKdVXG2fs1lp1zI9TnsVoiAnWSZnIw+6SV7c4ZeRaytNcLtM1dnnUO9l0z11j5A99R065LnxaeoyChvNgZUkhTv4nCsNIq8y2TvuSHkL9HSQd3vRnX/qZWIxzn1HyKKbEt32TKRGRxJ3MYU0Qnj8Ub4oklvbrQOa4sJDk/Z2ZQ3AXFt5EwN3a01AUpdRu0GI5iNDxcvXfIS5dP8f5wxHlcknLnrlzHjyzf4WfuvUr/Q1tL4kt5/OV+8p0ZaL+VKl6LS0MKB28pt//ZGf7BBeqNIJH11tDCmAwxLFvSwRxtPNp40tECt+nNtWg+mnPwiTAMUCazxZPrZHeT3HmMjmHwbDczxsHXNNpx8FXR5kOk7wIiMPSBsQt1BJY0anXQHzojghRCp6RGGI7IA1Afy3h0Qz6/Tnit2Zcl/DkeGClX8yvEEEEZ4DARcKnRmjDjcghwCkdRIw0W38/iqWJAxhz/z3URJBWtwyS1hYnzKCKZODPiMS5MPmvowpBIeyH4XvA7KiFq2ZOW9OM3UtGOiZrSY5mcPn+/wrdMkZfsVshkBNRrjeAUI11cFzdMcX5yf/gdNJeGTsaV9es4p8qqjbjULEAyY67RZWlzthd5YfA+kXpvHEKTSKMY/5RRaEUcYnoaX/Imcto1YJm6WUVbScjsZmljyMWvHS+/8RTnw5KLuKRXzybNOI8rnm4uuNde8DOfe4XtHcHnsdVc5/51xQhrHq/W/0evGqcguy4bggjeo8cHpHmoqKB5tMY/ukK9IGPCP7oyA7LZTTkTH3Y+fqSjP8amyW7Fea1EZEEIYHHpFJ0t2skyKlPKOfa59oKRlIk4msApzEbLx58lUpN9/L4M3EI0WoZl2JjQKTVCf5wftjNeoYhwJJqoZlxCrZeQ1WkFlpdCLcV4GBIwn19hkjjnSAKaJ3U+zyahVEheMu3IPFTNQcgLgOulioEgr6iZrKtwn+mzDDnYfVnhEEMYcZ6N1o5aiKYUo3GDfY7xLa6qL/czViV/UAk7Wgbl1CdxroRtJjZzCLVwCJBRVSfVdZnQGzkEa/0Wtnae303uDFFgdNMkja4ig5o5mYVNmiRnTFKT80p40zepVoEadmbZrS5I0Ydjn5PJRtkWAYK5EjpLVtzmKvDW5gan44qdtnWMR3V8Znafu7Mrti8MRojn1H2/K6ItKKIwn3UKN7+7Q7adGYSU0FmLNoG0aFAnjDcMJQDEmwZjtfHorIVhRFcLiB9NyPCJMQwpml9YoV9eZoJL7PqGYdvYg445qSU/LJejFZU7F6Vpx1qZR8LkqPouh7zywWELQzYONkFtoIc1+EHxnRW88DsQVeMjymqOkWeFhCsT2Pxm8/cl1ybQYCFEgUmQJGU1z/AdKslXQqcltDeuMmpINohK+Kpk1tUsvQrxJ3/cFTFNW3gQZTxQhqcHds/19J/Zcfwz79N85Yyjrzxi+1ykP9aqsqyJWkwhNN9N/IrfTUZKIjXjuhiqYlT9VqYozqxwHhOSAnJMX3P4dTIKRV/iOqocfSqaM9WaKM+/NoHU++relPybUudABFyWSUtIk4sB2UWQ6t7qmEVCrbmnMgo6i+bKFNVkAhUFD6+c3uJ8WPDa7ja9elauw0uilcizszOe+dQjupumpwH7Xv1RvkbmglZvKje/vaF97SE6a9C2Aecgp1DLaKy2Xw+mbBTBbXrcdjD3ouspcVad/QBGJQB8EzNZaOq1WTviXWJMjlhSYzP7K17RzhEVZqs+v59Ig0fF0cwtYSRGS4BxncurVsmonCagi8CgxLnUwixFcKLOBrOTfE6eiJJsopUJMqzsYZYEphSoKcaV9a8oASjcQ+EA4hQidX1WTTaGINxgRVBgmiw4pjqJaY/8HGRKXS5p20Fxy5G088TB4Q4Hmnbk0zeueP3tW3zmmYc0LtKPnj/w1Jt8bfT81DOv8VsPn+Vn7r7K33vtizhg82jJ7L1gNRm2Ut2imtiTDYgbc1q62L2Py4TfuXqM72TSZ8DEieRz9wvjVHl2SVvOfSRixsLFPH+LGGlfX5BcrdegtZYo4EwOPayzhXFCLAVick6EOIWQiF12HbI0umS4MsvEuCPnkwhaytipDazr9w74xuIeX73zGqfxgFYih37LoIGnwwV/4t5L/O9fndF97SZhDeLNyI4rpb0Q2nPl7v/1rkXCdh2SM8N01oKTOtHdEEmzgL/uYIyk5Qx/emmuRvDIZmchzdmEXD5M+8QgBucmcZNzihNliD6rH63UG0mgc3Ad7GFhGgZLnqL6hbtdg8tRDTeLpDZb2Jjl0NtULXVR1kmucFNrDXhzUkus3/WKG3Sqq1AEOS2ZJ5C9n+Kq2DV9P5VmC9t8faicgomBzJ0YDsxXrjUaskuQCqzOkyUubLUoUQrXQ1om3LNb3HMb9KRHDkYOn7om7TyMjsN7V8wXFjw/3SxYHu04bDp2Y8Nnbpzy0vldvnTnPV69us0Lx6f8gze+wJeffpc//KlX+be/8tvc/IP32X26N0QhgAqzc8lRjCkub51t9+w3zlyrTNBp0AnR7CdI7SGIlDNI42xSCtYoTSH6cidKrs1ggyG7FMmgvsZc5an3xhWMzlzV0eT3ElJFBpWbyNfVwico5qJkN0xUcr6EvS57uSyVd8hux9tvnfDS1V02ccY6zRg04Egc+i3Pt4/46r032H5pi6QpDNtcCYv7yq2vb9CrNTKMyHxW6ylI16OzpmoVpB9x3Whk43KGu95CUuMWhhHaxojHH1Tl45CJwlIhuuQ8jKMz8qc3KCejWW3Z2cMFC0Vpknqu98rQB5p2JG2nBB9J0B8I6oTQaSYeQYMQ55Nq0Y1ARgVFrjuuLGeiCHhqxqBkKJ/DpJLTqSfJr8l73Ugt9aaOmjZdogy1lJfkiZGNz3i4F8bL9+YGoT3zVWcwrpQtMxMXAAAgAElEQVT+2R5dWEahSOZXLhquHq4gCf6o597hFQC3j9ak5Ji3A04SPisDL3czZn7knfMjXrs44fbBmrPdkt9+9Azr2PJjt97hT/3Y7/Cln34VvnxFnGmtrhQ2FqY140utyF0I2OIemSGlirRcLUJrZGgJ95r2ZCpiUw0EVKK0pqvn0B7kZ1IkzaLGBfhUi8CqYm5BiUTUflczEH3mFHQPKWQjqLNoxqD8lAJCkity5VyXQhYzON48v8GjYcVFXLJOMxKOhsjTzTmfX97ny8+/Q3fTvk/YCPNT5eQb1zRvPkRWC3MfYkLnbeUWpB9Js8ayKLOGQYaIDBGcq25HOjS+QXY98oPIMVjKdcR7ZTbvLUEqOXbblnH0kAS3c4QrbxWRNbP5Mv0Uo+J8rIRlzEU/cXkCLSxbsr2M9AfOiMedoYHmOuscvEUecFaWq+r0I3XVK/LckrlY4/wqE5FYirLkNHh1NuFTzpqMM83cBVWMhFpWnd/ZjxuE2SOLAabMIZTiKv3NyHBktRbc7c585q1nezWnaSLDeabuR2eoYXS89vCE7dWct9864dnjC84vVry7PuJ8O2cVeo7mHd8+e4oXbz+kHz1OlO1oae1D8rx+fUIXAz9y9C5fvvcOf/bnf5Uf/7lvMmRdBMm+S6nTUBKdCspKs6wVGTIPsxde1ay3iLnStevtuFL2bb9tn96rTpWVrTjFrUpMeI9nyGnUzXw0Q7JX/1E3tmhokhruLH32WK5EMR6jQ5uiGMvveZDBRHISs1K0aEAGYf3KMa9c3+HhcMCgnqiOAc9Ken508SY/efM14peviQulvYQ7v3ZmEyIbhHS8NPJw1oJ3pKMF8WCGpITOCrkjuNMr3PUGbQLx9iF4h1tvDWmIfGSO4RNhGIAsXlLG0dPmDDlNEK8aWAdbTfqyYuaTsvtg2gXNRsEGxWw+kGJeGaSkK9tp49JZZmWvOQtSstrQCEebxKZjKDDdjbn2YC7kUgqUurh/PzlN2mmuSE0lDUu8vqyuzaWbiLSMZqz+wmSEzIXQTHIaMRef6Yi3e5pLh985K+W+9Vab4EaPRmF9YUZBBkMKVw9X6OjoNw2686xOtnzn1XssVx1j9Gy7lnc3R+zGwJ3lmofbFZ+9+YgH1yt++MZ9Fs3Aeb/goOm4Gme8vL7DM4sLrsY5jYv86Z/7Nfrfv86oKIdxM8dXBWFp4kWKCjJ5rdmnxiNYKrjkWhQljFtyU4qqsrmwPk5Zuo0zMjEN3pKbMpdAnxeRKIxdIHWT/lyTwCzfVNz7GacxQ0EEmTcArDhM2dMi8rhkvDSvkEOwKvCNt+9xPi6JalmXpa2k5/ctX+dnP/sSrhOe+udXyKbDvXnfqpir4t87g+AZj+bEo0mjoAUZeDsOQBcztPH4K+MbNHjjFwDpfgBdiUmUFLl5uGHbNyZgGg1zy2Bxe18KeiwUmZdsTHswRQmZskvR98EETpk1rlWVnGQSLJGCJVEV0sx8XLte2E66gBJv9tuJFS/+f1WuJSuWUuo9+j4bsqpZyFxDDcVpTcNN7ZQs5HsTOI1LZbg7oA3c+dH7uLs7OBpwD1qa99sawgtXVrCEJMTrgLsMuPMGGYTw7MYqHGeWu5mPHD59xY3lloPba44XOy6u5yxmPZuh5XIz573rQzZ9w9vXx3zh9n2+dXaXL914j7vzK4JL3J6tOQwdD7sDDsOOp2ZXvLs75s9/8Td47o+/UQ2B6yZpdtha4lh7afJ03++5CDl7VGIuNpNfL2Qk5HBpZEJYWanpsjtR1YmJzAvI5AoUIrPwBN7SqW1vEq16FRn2jEDn2N9Mh2YPgWQeSdsEJcScsNT0XkhtrjHqJ3cpPpjz3cs7PBwPuYxz4xqygZjLwGcXDxhXSnhwabDfOSQmQwoiyHqLX3dIVNxuxG0GJEakG/CPrpDdMBmAGGGMFtoUsd/bnYmiPkL7RBgGwFKngW3f0PeefhdgdMjgCNfC/CHMHtmEcjuLNpT4cynY4r2Vn3duKvhpIzKLVYqiz5sBCNtEc62ErVaSz41TIpPv7fxhNU1uMJFNWelqjsXWlH1usAFlxNk00MeDXMMvTex7QRSuYyIQsyIxLhPhQcNwFLn/rTvou3Nmr8yNLyiVmnNUolRYkt4ZEplbvr5+bwXrgHaOsLBZdvXeIRfbOY2PnK0XzGYj5xfmiy5mPW0ufXbQ9rTOqhu9sz0iIbxydpsgkUEdl8OcpMJ6nHHSbtjGhn/rqZf4I3/+N1j8mw9quNVciVwGLvMEKZgwyo1SN0kp1aFrsloVmEHNKt2LWMSFuWOVm8l8U/1dEIBkdODsOmnn0SjEzhLvZG4x1pqsVqIQNaadKNW1SsVtDVaHoewhUqITaZHMaDRa39PW7u3l797j9d0trtKCXWpyAdmRRiJfv36Wz/2tCwtDBm8hyWG06MPRinjrEG1DXfULlyCbziIPw0g6XkJSpBsNQeyRjfHpW/b+R2ifDMMglvTSeBuIKXqLMERjfcNaaDZKs85CniyDLUU5+j5U9DD0gVhyJkrrXWW1S4XnkuZcakCWoiqSicfki3hH8bu8echigreFVfedhZjiAtor4yxSLg8fa7FUqXtC1NoEqdRHqF1AauHwR04ZjiPhypnbsnH4TqyiMjnZKmdHDjdSrr1ooiO3czXnQHoLFbqdTYqx84wP5sxOtnQ7m327bWvZhYPDiXJ7uWHdtbx48pDnVudsxobPHT9kM5qr8QfvvsFbmxuMyXNvccFLV3dZx5ZV6Nimlm+vn2bhen7q7mt86We/UwnD5lJqNKYkcRXXoqRnG9dCRRF2cBb/bHNdzpK4lUnouo+GZnfCQcmzMDWYVjESSnUNat1GlSqHln4if0l7BGPnkdEhKjX1HYfxGOVzBMoeHJWDaNP0dxSkc/z2o2d4OBxymRasc1r2b20/zdf+3peRN99DmwCdlWUjeKQbrMgKGMG46Sal41DUa2LnqRrnEKNJpUWQricem9F3m/2Q0e/dPhGGQYAml+PqRxPLD7sAeaUJW5hdplrjEKhhpibnU5QMy9BEYhT63teioJLJSnVmCFxJjgpCCibYCVl5VjT/zUZRmaoIQfad8wBu1tm1KHoFck7DKvvJOWRZaieW3IZJB6FVNSnJDEdcmW7jztc8s1Nj5dsLR3tupKbP27aVFq6dXW+QunWbZSG6GkKLqwSDWPmyVvPWf8r56zeYzQdmzcAffPE1zjYLLvsZN5ZbxuQIkrgajKv41Oqc1keG5DloOt5ZH/P25gY/evQODuVqnBMkcm92QZdXw6fm13z+F16hu6m1snPY7CGBLI4y5JTLl5VkL/mAwcyb3BT1qbmCTGHCXGVbfLIVPus3Kn8g5AKuRiAyWEhTFZNEh2TGKVeqmtRyoCHZj5TS7orsXBaASXUntNHqxqjf4yfA3I6gvP32CZfjnC7Dom939/j7D36Ez/wv78HTd6zISggWhZi1FokIjjQLqPfowcJETV7q5AfQuYUv3dm1/b9aoPOWeOeYtAi4qw36+tsfaU5+IgROIop3SkxiG87kSd8+CMweCQdvR3yXcHMBlxWGncPfSLmEl/ETfW9p2IWMrNvX9RPH4IsctyzgOTIVOqU/MENheQ6Ki1pVkTXpZ7TXynZghUwLa2PQqwrRUTefKa1sPZdaKCnIpUqPCoQLx/jOTdbP5H7JGZAky67sj6d05+KHl6xJn7eqM+M5WQ/pBb91jLRGnJ21xNsduogsZj1nZwecLbcczDtuzrdcdnOcKG9c32RMjqthxs12y3poeTsd88Wj90gHjlEdl6MVYtzGhucXVxz4HQ/6Q0Z1fG75gJXv+OGff59//N7nuPqVu5b7cE0tp14iO8WwllbchoLqUh6lJZ/Ewp05dX2VjcFeinRd+QvPkJjCiams7qBbj86zr+cVORzRK5u0mitETzc1jRvd4xxq6nrO1bBj1SIV3gxLJSyj8Mtv/jA///y3eau/yd/62k/yhf/uGhc3cHGNHixNexBN+pwO5/iHl3DnGMmZkqjiNj3pyFwDnTUwJvzZFXq4NBckeNKyJS4amnfP0bfeRRaLDz8h+aQgBoFu9HSD6YXTdYNsvHELp0qzToxzxzi3SaqNPfhu2zCbDUh2RQDL0txv+RlOPqsStglRZZxli+ustmMhIidfWAjbLIXe82/TXuXoInZyg6GOmkSUJsNR8iJK5STTPeT7Gal5APOHOU273LoYZHbjVOehFjTJBWhLmbUikiob6UoygzA79cRVwm8dzVnA3+4snBuFq/WcWyfXXOzm3Fms+c57d1iEgbevj1kPLXcW19zfHPI7p09zZ3HNF4/e4zdOP8W9+QVBEu/tDjlp16x8zxvbE97cnfDM/JzDsOObV/d4qr1k6Xr+9LO/w3M/9zpFKOZ3VINZ6h+m2RTarPUts8TcDVMRHTdMxWDKhCfLnEWohVbCcrRiKl6R0cKJbuuNJBwl7+MpVR9T9rIsu4SheTHJmgbpslCrENlRzHjMsg58r6COKWSzwWoMpYi3HdTWV3O+e/UU/8ff+UN88a89QrY9aTk316EfzCXIoiS36dFZi7vcQs6gLC5Bf2eFtgF3vsZdbfI4duZaBMdwNEOSZWBqTIZEPkL7RBgGVWqBizKx/drhOyuqUgjBcb7np3vFB0ueskpOQtuahkHV5NAimmPQ1PyEOBPGhcN1SrNJE3nkrCaDJHM3xrlUH1fDlAmXglQIXFa2sMnKtbxPRblHoEY8JOYU5SQ1DyGsZeK4Pn9lvMEBe5mcWcKdE2qK4McmVobfM6W5dNUFcjkSoEGJi8RwaOG7eHO0cmKdJ763xB8OVj05Oq42c145vcXn7z7k5Xfu8IUb93lqecWbVzd44egRP377LYIkutTw07e/x7cun+b27JpPL095c3uThPDi8j5OlEf9ATM38sLyEWfDikYig3r+jdsv8/QvvkHYZvXplRI2VnAlZBdNlFpNq5DBJZmruc4ow5vxLBJ3zdEFEaAUUhEYd2Eq4gq43tVwqd9lvUGkGgGc1pyHuqtWdiNwCmHv2fVGQDIKdH46t7Uy/OyRkqU+pOaEq9li4Ld/8zO88LfzdtjeITGSjpbmOsyNBNM2T+RgikYZRtzV1jIldz1hPUBUKwKby7bpPKCLlv6O8QrNW4/QXYdbLXjwpz//kebkJ8OVAMacJxF78/PCWli9l2jWiet7DaHTHCXIDzIXhrWisVYdOvhELIhBxVJug+2b4De+pkmrE+JCcNGuOS7y6husOIvtT6kkmSoPFaNUSMj2XBmOSqZiIRSpiU7FPSD/H7aWU1EQhu+txJrfCcMXNujLh+jR5IuXBKuUVYKuM4M0LrNkP2RdxtqZqEqM5BuOcmbnLFqB287jtkJSbxNu6+FWR7xskeXI1XrObDZwfbYknJxy59YV726PuLswleRpt+Ig9FwOcxZ+4NGw4ka75WJY8Oz8nGfn57y7O+ZG2DBzI+/tjrjdQieJb108zc3Zhs+vHvDpxUP+k+f/EfyX8Hp/h5c2T/Nrf/0PIEnNMCCVHC4pyAUtpGB97reAg+5mnssjRIehgrJTtddcRj5HkppI2niLjGycpXNvrfDvmJyhLS9Z04BN8Ex818GZirI1P8/5/vvFxwQGG2+lohN9vpZT/EHE+cjw8iHP/8qI7AwdyK5H5y3ucgNdT3z2tiVBDZHhZEm4NoQg/ZDRgIdZy3DQMLu2c2U3oMs50o/s7h0we7jF379ANxt4+jZv/Dt32P7oFv7HDz8nPxGIIWbdQYwOekdYO8LWVm4Emq0SdmlahRuFwdkOVJlH8NkolBwJVcG5VLcUKyuMTdJkMueZrSLtZVYUejMaKiZ/DjsjIAuiqMU4cxk2g/FUjX9FCzCV6Mosdpzb7/0q1GD8wHLZ0VyI7bKUk7LqVm4OSmk6dbB6y9Ks0yzVTWRSaxV++ptp4he2Htn6WoZNl9EGa9BJJu6UuLO/X/jUA96+POKF41POdgvWY8txu2M7Nryxvsmt2Zo31zdYj7Y6nTRrfvviWYJL3Jtf8OrmNve7Q4Ik3trc4I31CX/5uX/KL9z+Oj918DJ3wiUr1/FsOOdPrL7Ff/bUP+LhT424QWt0R0ZDDIYqmGphjBCuzYWTsZT+L/yLfd3UeUIT97a6N84hDW7KZcFcrLA1I9NcSdWZFOl0JSgFm/xOs+ApP7BiQPYjFDkiIZng1Da7GCHhZtE2TQKG0zk3vwXLV89qHoMGb+XZuh5dWWEVbTypDTRnW6Qf8aeXlma9nJNurNDG01wPSD8YWgie8XiBzhrGlTd3c7tFjo84/QO32DyTWB78AO5EpUnoNy39uiWcB2anwsFbieQhzhxuVMa5kTnjPG9EMrfOdrm6dNntOiVHaCxnoCTHSOdqGXVJ5k74XisfMBxMZc3AIhI2Qae0WEt4mgZI2X8QtUFWRDhxXogx8/1N3TdVobbErFLsE/pbifHXb06ly4pf3ee07rI7U0Yg27tmBMK1oyRh+a1jXCl+bXtXWgp4Dut6JVwJ7jqQGuXgztoGsFdS5zm5c8nmwYrt0OAEzrsFnzk65ZWzWzzYHfDVW6+xHlrOuiW/7+bbnPcLNmPDzI3caDd86/Jp3u+OONstOWnW/NzJ7/AX732Nv3TvVzmPS+6ES87jkkfjAVdpwdvjDa604So1/A9//G/w4Mdh8WikudKaiFWRVmOIzO8UUaW90Foqr+g9ZI/9HwcTelldR6vo5XLkIuUJPXsEszNl+Z4yf6jMzqy4SpVEe83ahRydKPJoqPkPUvy/wjvl43VREmSMu5CgU83Iq4bnflm4/av3SYdz1Dvk4tp0CzHWZKe0msGYcLvekEw/WDgyJbpnDkitEZD+lXdBBHdukYg091x+dmVbI6x3cOsmD/7IPd7/YyNy0j22V+eHaZ8IwwAYk7vx+J3kAWBbve+OHbGRun2XFbNQ89mUGqZUFebtYCXBfWIcvLkSvXusoIhJqo1QtNoGE28hyeovFE1De6EVGfidMuQS8rXYSiUWqftMyFh84XLN4oJo3aauVEj2Hcze93XFNENo19vd1okbUSwi0cDskdDfSJSt0FML8/tTiM11Qv9MT1g7MxpXnvHQWHGdJ9ZvHeJ2glt7Zocd267l5NlzTi9WhKwj6ZPni7fu82PHb/Ob58/xxRvv8+LhfV66vMvJbM2d+TX/9MFnub895NVHt7jRbPn5u9/ky6u3OPI7dqnh5e4ut/w13+2exotyEVdcxjk7bXgQDwGTBP/Sz/5Dzl5s8L3SXk6FdCWVknFan09q9oRO2XjU6EM+phRjKdvMAdXntz08M8exSSwfJppraM9dJTGlTZMx2CMVgZqTUbQTMk7Gtyowy45VDnS0vVAU8NeOg+9eoPMG9+Z9eHhq/MLpBdo26HLOeCPvGBWcaRV2g4manIO2Yfb+mnC+xd0/Iz33FHiHNoHx5pI486ze6WivInjH5Zdvcf5Fuw9xsN38IKZd56w2GYTZKczOc9Th0NEUaXJenfdLmltNPzMOTTMyRJ9L7DurDpzMx6vjJkcfhpUjZjfCDVrDUJIsXyK2BaIzJQA1BkGLMq+QmSXJKnnqprVxbglZTd4qTgM1NImYQfIbK9tW3IdxOcXrCwtfIhdlmzKJZjCKtiPOlfl9YfeURSPCzrgSf2qKSW2UeGPMG8eA23i0TcSjiN4Y6M5NDn1+sWI2H7hYLyoJ/PX793i3O+ZLx+/ysFvx5vYmThLfOXuKly/v0EXPpw9O+fc+95v8xOH3uB0u6TXwZn+L03jA7XDFeVyydD3rNOPQbzmNB+xSwy61XCUzEn/s4Jt8+d//JqEzY704TSZkG6loLc6y4VPb38MNe1sAgEUWnE7Vn5MV8/GzaAVdy9jpJuL48OVrFg96muuMBoqqsZCJe4a/EIvFlS0p2Nrm43a+1mKQxQghIW3EzaMJyB7OeOafJNx6izu7RhZzZLVC5zP0+JB0vCQeL3BDxJ9tzDg4Z+6GE8uUXLaWIxEcergyVADgDUH0h47UOObvbHj41ds8/DFXM3Nj7x7bgu/DtE8E+UiC8LChvbDwZNglhqX5ebGxiIDmiEJc5DLpYSoMG0JkHL0RkdExX/SWlalUCz7t/ad2PWccgrkV9l5ss+HPOoTUTAVki95hf0+KFKC9hP7Yzh9XIEOOr8/sOL+TWqW57FxckovmD101SuX+yu5LiwdWXh6F9lwyCUkVT5WBvr2rtl+mWEi0vxkRtVCcXzsiubzczR4ezkwI1AkyH3EHkc1uZhLh6Lh9uObN8xvcO7rkMzdP+fV3P8UP37Zow3dPb3N5teS5O2f8xK03+MnVqwDs1HZeejgecREX3A7XzGXg/eGY280VF3GBR4kIzzTnvD8ccyqJdWp5tjljLpH/6O7/zV/5cy/w1N+Z4wdFoprxLrVUyv4cgZz4Zv3rO4grhSbXcRyyWIlcnEVMGwNAk0hzx3AgxHMhzQN+PXD4hsONDRfO2e5PXnEHg6Xwd76GMundY2nYGh7XOWgWWWnvzbUo3sYoPPMrcPj/vgPjiN48Qs4uLQ8C0HmDBmdhSBHi8QK/7i1UN0b0cIk2HrfukMs12g/Iocmkx4OGce7xfcpjGs6+fMTplyDe7vFtsiREnWzah22fDMSQhLAT2gto1+mxLeTUmXEwH95yESRb8Th4m8jJjINtgJsY8vZ1BW7uk33JF82+Miwdw0IykrD3y2cDE4ropv9LqbRS1XfMEnQLdzJtjuKo29kXiW9zmVe+zDfULeiK+1HQSLCCLVXtmPb6KhuncTlxD8NhYnYq9CexSnf9tWM8GS1seXMgrZuq5ZebPWnwxMuW3XWLbxLzduBqZ8rH637Gemx5+uiK+5tDvv7uM1xdL/jxT7/Bf/jcr3GvPcdL4lE84P3hmJd3d3GSeLY9493+mEEDJ+GaLjXVKJz4NS/v7nISrlm6npXr2WnDXCKNRP7rn/jbXD3vJmWrFrfP/rZq1kWkZgVw63Z8yTIoS5XwUt7dtrNPuOU4QfyM8kQV//CS9uGa2Xky5Wtn19Po0H1DUFyS/VU3TTwXoRCRirT2mg9WP7J5c8bhS5YHcf3jzzPeyCnUIownK4abRjjinOkSNoPxCm0AJ6RZA14gqfERJ8foekOcB1xnn7U7CcRGuPx0y9WnhHho8tFUktMuvJGmH6F9IgyDqE24ZpOVhiL0B66G//xgkzxscx7CIDVMJC5Z9AGYNbnsd0YSLlcQVk8urMrELpeFZJPTmp0ZnLCzwrDNxpKrfNY0hI1VcNqPLBTCsgiZUi4/VkuSZXtSNqgZV1oRQHM9vTccGodQ8glSydbMG8OMS2g2+X6vDNmUqtApKyO72wl/nSM01454r0N2DuYRf2a13yQKHAzoWYtcBYO8Xom9Z9c3fO7kIbsxcDTbmdDp7Ji379/gztE1f+4L/4KfPH6NN/pbeJTf2jzP2bjiIi746YPvAnA2rjjwHVc5g3CngYhwHec8HA+521wwl4EXmgccui0eZZMCL4RrDt2Wn/sLX2NYOPygNFulvTaj2l4pswt7HinY1oIFhZHdCcnb25eqzuINRSBY8VcsAjTmPS3UO8tC3HT4XbQw8dryTXTna6ShzhA/RSdkMF5Bd96MQin0UuqMliIwO8/JN9UmtnOsvv2A8PDayETn8OuO5nxnoUuwYisxgirucsPw3C20cbjztSkhbxyQDmbo3RPC5Y6q+QeGpWN3W+hPckQkYfcTYbwR8bO91fFDtN/TlRCRvwH8InBfVX80v3YC/G/AC8BrwJ9X1TOxwnT/LfALwAb4y6r6G7/nZ0RYvm+EY/JGlrjRBgA6uRPDMjPDeb+I1FuylargXWKI3riGIeQamPYAS9EQW4W0+qaiheCz66cwrcYqJo12fQ51tpnsC4+v7nFmUYmyFX2p0VAku26w1X9cZvFOJiAL+TguqKnHw4FpGMr+CTHvwG2yYSW0xieYW5LwO48G2+sxzvYqUPVWIbmMm3hryPH8QPPujPEwIb3BXxHFz0fm7UCfrB7D77z2DLoN+KOer372Nf7kra/zcDyikciB3/FwPOBmWJPU8ZXl6/z6+rMchw0X44ID3/H67oQxeb58+BZL17N0PYduSyuRl3b3WPqOpI6l67nvD0k4Xmge8mdv/jqL/3zgH/y1P8z8PNJcR7Z3MhR2udR/NE3BuMobAIkZW80IAcA3iTHXawzLEdpI6kzhGDaSQ98K4wjNktl7a+QLM0MMkVzxOaOFWdyrHuYmqfQ4Eb6MrmZhqtr4jWczTn7LcfK1d2Gb+YBZgy5nqBfisiVcbNHgiLcO8FedFRze7Awx3DyybewvNrbr1HJuuodohV3jPFhqdhC6G46rT0N/dzC1Z3FPo8BBpFmWUM+Hbx8GMfxPwJ/8wGt/FfiHqvoi8A/z/wB/Cngx//wS8Nc/zE1IhNlFFqioTcKy12IKhhjGuUw7R5fst6ao3pRxTwqtaqnYpmPQqhK0IqplglvZ+NhME16dMM5t1ylL9VU0SN2gpdRiSHmD2lITQX1Ouc7wthCHcZa3XMuuw7iyGHxqzXUZFzbxSysqRzA3ZHY2XWc4EktI2ho8nD30DMeJ5swxLs3lGA8j8/c8w70edxUId7YmaAJ4YPzC8NSAipKOR9v30cFwPmfRDrx9ecS33n4ad3/G4dNX/LHPfZevHL/B97qnsotg17odrtnEGY1E/s/zLzF3A9/ZPM2jYcV1nPHTR6/whYN3Seq4iAte3d7h65tP8U+vPs/Sd3iUY79h5gZaicxl4O3xJjtt+MWj3+QL//E3eO+rnv440FwnZheR+ek4kcUwRYfKBC0rtUDMboOb2Q5laROMPJQ9rqiPEAJyuWa4s2Tx0EjPZm3PXoqWQScDoGLGQpvJdajFYlXwBwM+k5SLtz13f+WBnVfqNY4RWe9w28GKuM4b3OUW149W23Fr+w+ZVBwAACAASURBVEakWzfM5RgTZdPaNG/RNpBan38c6h3jwrG9LQzHWa+TIzLuKthPa25FqYf6YdvvaRhU9R8Dpx94+c8AfzP//TeBf3fv9f9ZrX0NuCEi936vz7C8AjFSKSctFdIPgWEhzC5TvduiHwDQZNqFlBzdzgq8uLzTtWqOTavUZBxboc0tKISNi1oNhe+tipPP4qawMbZckpV6KxxB2Z2pEJOhFA4hi3N6i7On1nQXcZmYv5/3o9yZaxDnWdGXUUYhHssGLOOCup2buRpSIzTDcSJcC/2diOuF/s4Ii8jucx3+tEEbZTidW591zgrFdo72nWx5elv94mWDzKPVVtjOkNcX/KE//A2+eu8NTto1r29v4yVx4Ds2qeXEr1m6jou44Fube/zo6i1+6/I5Tpo1B777/6h701jNtvS+67fW2vM7nvnUcGu4Q9+hR3e32263YzzFkaUQJEMgJhOKk3wA8g0CH5BAQYKAgAQhJVISPkQIBQWHKAkEZ2gFt208dLvbPVzfvlPdqltVp+rM77zHtRYfnr33qZs42NeK4GZLpapz6gzvsPezn+f//AeyFsl9Wk54Uk04q0c8n56yHy14Pj1lpAsyXZLomoEuKXxI5Q2hali7mArDv3/4Zf7yv/VXePT7rbBSa4dNtGAO3QjXYg+dwrJPiAKCsDViaY9o0vnr0ftQopSoENOY6DsPmfzmrJX1Q7DQmJWGRsmF1a0t2w1V7+kI0im0f3yn2KwMu99ueu2DfF2AjyPcJMOlIbpoBIROI1FMOickp8AItVkr9KZ1YsoSdFGh1yXB2bItbPL81geactfhB7Yff3wpxDZ2S5K0wgROUr4/xPG7xRgOvPdPANq/99vP3wAePvN1j9rP/TOHUupPK6W+ppT6WpOvpUVSfCD9uSsOpvL9WNGfEGEbZ6cdYdjgnCJOakaZtG09T97T76K79WOTyo6/TjVBKXNsuG5Vk+EzQSaa3iy2A62E0CR8B9XQbx9ccOXC1KTCiJQnKn/MRvdYRBecGy7l51XjFldomX+dsKrPyuQK3Ky2HdVU7kpddoPNXO9o5QuDHVnMUvcnsKoVwcz00m+UaFEIPMFcjEuO395llJX8xI9/nYN4SazFd3MnWvHeZpfTasS8Sfn25ibfza+R25BpsOFRtc0Xp/e4v9nBogmV5VG1zTAoeSV9wkG46KXYXcehlafyAWsXk6gahxbzEjQP6x2Omi0A/sGP/fc8+f01unKES0s8azDV1TpTJOxXLXIXSWf7kBh5fesiaJ2eO9q1ohmE4Jy045sNqmyYvr5k8MQTX7QK3lqLHVy7cYD29ezs+xohMSndajW84BmDd0OyBwv8Yonf5KjAyNqxNXL1RoNz6MuV+C0ohU8j/HiAG6c0I2lNVVUL01FrvBEDF7s1oItQnL2YsLzremm9nChC+tI7FVHctObIokL+MMe/aPDxtxpkfstNiff+r3jvP++9/3wYD6gz3QePdJLmjtTUJEJTlujz9i7Rvhm2MWzWCUEg5Jyi3Uj0mZddexm3s6gR1mMvmW5bSwEoxRTWRuIarSvfZ1CIsUhrrmIUncqx4yHAMx1EZ5FuIVgpiucqYdgVkJzKXanbp3dOUN3jqbOW+tsWkHCpiBYyRlVT38/JLvEUN2oxGJnU+DxAXYQ9z7/ZryVPIxIylB2IaUu9ZUXQlXhUbrAjR3AWEuznPDe+pPaaWDfsRCvGQcEby0MO4gWufWsbZ5jVGVvhhlBbShfwnfV1Xhs+4YXklI2L2A2WZLriUbXNxGw4COfEuiZRTd9t3C92KV3IuR1y2oyIlKXyhsJJB/FudcCpTfnPv//vcPSDKdFFLhdEO0K4sMVwWkqzevaO6BH/ifZi1oHvDWI70LLJjDgnNxY1HKCqGr0uSC4t0VJwHLNpbfM6g9eO30A7wlhEut0InVppMOch135xg15sUFkGkxHEET5phU5xiIsMelXgs5jiIEPlVe/4bNOQ6GhBeLzAG41e5CjnINBQVmLQomD5XMziRXAj2/pcKqgV5jIQBqbyvbiwI/19mON3WxiOuxGh/fuk/fwj4Llnvu4mcPTb/jTVkllaZmKnXOzZhO1o4cyV1FhVQghQ2hOEDUURkrejRFmGfUYF0NtsKSvjQJPISrJry110BSpWY4VybffSri51m0rV4w76qgjUgytGHrSYyDNpTTb1/MQnXxe+fy70a7GWuyoGuuLKGr2E+ILe3ckrKLY7k1kIl4IpqFqhc4NPHfosQqWNkL82RspzqXGZBSsIfrgQl6fsgYTGhJe6pQLD537wTT5144jLMiNUjkW7uz2uxmxFG97Pt9mLlry5lLXk3fSM9/Nt3s+3OauGvJwdk5mSwgfUzvCknnIQzjHKMbcZ7xQHGDyFD9i4GINnK1wzMWsSVTPSBQ+qXRJVMzUbBrpkP1hg0RwGM/7wT3+Zaidtmau+d9925gpIfjazsosRAHp+Q38uBNLlBbm9sj/bnkBVo5Zr4ouKaOkZvU9b3JVQyDuaNG2n1ukktAQgKQ3qccLuNz3h20eyMdBK7vqTgdCejUIvcsLLnPpwQr2TkR6tJTFKC9vRFA0ui4Xt2Do5oRQ0ToDLKMCmAYvbmnrkUC04qkqNrjR24AjTurU4lBHiWW/U3+nxuy0Mfxf44+2//zjwd575/B9Tcnw/MO9Gjv+3458GTH2bwGyq7iQQ1yXBArgyElVCclIKosgSxwI4xrEQVILQ0hlsdFkPPUkmbgGqRiS94eoZ2zcj5CdTSvfgu923FTBSZNBXRKiu8+jyDlRz1e28+EP3+cqDFwnWV+NM53YMz3QbnRO4l9/VDKEetSMLstkIl9LCdmaqPvQQOMKlRp9FNDuNnMhpgy6F/x/MZaXWB8d6WbeZQpG+POP2K08ZBSWTsODO6IJHmylDU/KLpy+g8VQu4KXBCe+u97iWznm0mXJSjxiYilvpBS9lJzwupxg8zmtuxefcjU/5teXzXAtnfHt1g5vRBUX3BNtjpAsu7JD3qx2O6wkbF3HajFm7CIMnVA2Jqnsn5dM/s6HYCdribiVc+NmTvTdnoU2fkn+7jr/QXDl+C2jpBelvwT20xlcVwcWa8TtrslNLeqyILjU611eOTK7rWts7cJtfYSvN+F3Y+b+fopJYsIIwwKexeDO20mhVN7gkIDhfEywrsW9LY3wcCNFpWYjpShrhsgiXBLgsQs+WqMbhteLRj0YUL5Xo3VKKYSBeH25gMeNKdCJ9Krzps2A/zPHbfodS6m8Avwy8rJR6pJT6GeDPA79XKfU28HvbjwH+PnAPeAf4q8C/+zt6FEq2BGHuhd3X0qCbpHNKUq1pytVqDwd1HuKsJF9bq3shVWdFH4aNINX+albvTVTa9ZdIrmV7ICeMFI4mUdiW+dgMBHvwRl1xEp7xf/yAuWv7O4KNFJrPbb0v6dxtl6KaK+6Dbq7egc7ZqEmE1+ACIXPVQ4fZiDLQB1BvOSFODUUtmTyIBXMA9EpwBH0W4YYNeqOxmSM619RD3/pFyu/72O99l2la8OL4jIfrKXezM3Ibspes+Mrxi3xm6xFPixGRbvjG7DkeraaEyvHK6JjchuxEK749v87KxqSm5s3NIVvBmotmyKNqm+1wjUXz6dFDntRTQmVxXvNuIRuOd4t9ShdyNz5lN1xyLZzxqNqmbrGHwkUcNVuEyjJQFX/u43+PcqqJz/KrvMdQukzVrmZV68fQ8QhEROVkzNAfxGuK3Ujm+i7GLQ5RaSpeBw9PyR5tiOeeaCaj2+c+eY+f+YGv8Cd++OcZ3Z7Lz0ks2ZaQT/RlyMEvnINzQnXOYnFoBtz4yj3JJxEuDnCjREBHAOtkQ5ELWGm3RgKSaY2yXhKsS2FDnn9qSLXXoCMr/IxKY+YGmzl00khivG+bjMYQxzVNbYQJ/CGO35bH4L3/6X/Of/3Yb/G1Hvj3PtQjQMa2eiDIPi04ZMpu7m8faCWOSy4UsM1Hrl1PeXQ7P3kvbWQQWALjaLr20sgFWQ8hnkvBUa5jVHrqwTMGKK2WAaCzEets422LB6DoY9ZswpWlmroaCVCw/Xuecl4NsWexjCkT1TMdlZbnHC7BDdqNRMv0q1oCk14q4nNNM/TC7k7EJMQF9GSm4mZF8iiiuFVhLgNRcyagVwE+9gQLjU0gOdVEc9jc8Hzq+96hsCG76Yon+ZjnBjO+dnmbcZQzrxP2syXvrXe4OzjnNy5vUjYBL01PGQc5WnluJxcclVM+P32fp9WY1NRcj2ec1GMyXWFR2HZVWbqwLwobF5HbiL1oSWZKQmUpXMhAl8xsxiTYYNEsXUKiatYuwgaKRNUcmjm7P/0+6qsTTGlRTUh8qdhcl3W0CZ3E1CvZUKDArkJ01mBCK5kTqjX0tRBf1qi1kIR8HEmrr5SkQ9c1erYmXgyY/2TOn/z4L/Fa8piBqnjaTPipu9/k3YNdPjt+nzfW1/iHr7/G7jeVeCvEUTsaiMZBzgXV50GozmVJK1lDTlL0qsJcrGR8CIwoKyMBKvUyl43F7pTVy1tsrikxfrGtvqjUuMRjtkuitlP2XkmMglMUeYRzqjdO/p0eHw3mo/vgDr+7mwNt0KwQnySBmj6NykSWMLR9MQBI4hprNVUd9HoJ1baTXdp1tHStxNm3Xg9t+Ez3PnrpGlQjir9urk3PfAsIysc2vgIuu2g2yY+AYOP5k3d+kbcXe2SPTW//Jr+APtK9GdBjHTZtC0zgCZdaPCJpxVcty9ENrRCsYo8dWdTGYCNPeBJiB64HxbLHmvhYikewEsHW6F97wt0vvs/RasLHxidsRTmBcnz95AZn+YDjzZhIW/aSFUerCf/k8UuE2vKlg3usm4hFk3JaDZnblOeSC97d7LETrjE4Vjbmss54v9wGIFSWjY1Z2oSTakSoLBrPF8fvsB2sOatHOC/u1Eubshcsqb1hZRM0jpnNiJTl1Mr3WhR/6uYvMHttLABs6XvPCrTHNarPjOhBx6xpTVs01CJoC9ZQjxT1MBCpc9vyC4dA4bZHqDBk89IuP/Nf/G3+h8/9DV6On/CP5p/gv3v0EzystzkI5/yRvV/menjJH9j+Bv/R9/2cuIFtpHvwqWABap3jsohqGgursXHoVS7EpaLGDkK8UrgsxI0yUVmGBpdE2EGEPrnEL9egNeffu8vx5w35nQodOFwRCOZhQE0rTCsJ6OIaO0zBeSVRjfb/363E7+qQtloosCBkp97Bp23tvVZXgbMaVMvus+0+uXsh8jyS0NIWlQWZBzssIJ53Qqar9WiTtidSQ89t6MJpusehrO+JS5L+Qy+X7tyPVcu7UI0YubxX7vHW29dbsKvlTLSdUN0VBK64EKqWriY5lZ+PQhyZWraf2QiJxo6sbD5yiexrxk4s5WtFsNaM7hlsDIMnnsEjRT3yHHzhKZeblHFUMIgqHm2mLJuYZR1zMFxRNgGDsOSilKzKF6dn/MC1+3x88oRvXt4gMVLVxkHBrE45qUYE2nJeD7BozusBgXY4r9jYmI2LuJ/vULqAO8k5FsVuuOSN/DqhargWzfqOAuCiGbJt1i2zciwbJh+ydjEzlzJQNbU3LP71JSavCTdtxF/nsVgaCbCt24zKNpDW1uYDazFl5b2ILyuwDrXcSLRbUUBj0YsND/7Y8/z4f/ULfCZ+yDfyO/zN0y/wWnbE79//Fp9MHvHZ9D53whmfi6WLeCl+yvIPLyBL+85D5RVuZ4wPDdFMwmJcZGj2x/I4akuwKDBr4ViY+RrlnKwvAy1CqjSRziONWV9XVLtWQporYXXiwWcNxjiiqMEoj2uVxV0WLNBfDx/m+EgUhs4spVMvlhORRNcDmbvLiSZauR5zQPkr63CvWos3mTPDqL1LdMh0ZzO/6hhyHhe14at16/tQSxFwgch6fQ8q+p4F2YGQ3cq0e9zKtVuNVn7dCazmn6x5d73H6HBJM/D91sMmyFz8zPao+15TiRKyyWSbEazF0KVjVKJAPUrBKtLHAcMHgiHoXOMGlmCtsamn2PWES9mwzF+xHHzyGKMdNyZzSZFaDbh3uUOkLbU1nG0G3J2e853H13k8n/DK1glaOWZ1yrurPa5lCxZVSqxrFk1C4wypqRkHBbmNaJymcYZ1E6OV5/XlNY7LMa8Nj9gPlyxt0jMlnVc8qacAxKrhfrHT8xssMm4ULuSsHrG0KRfNkMKHLHzM9fCSP/XKL3HxiZEY+ar2ddRA6MQpqW2hTXj1AnfjpG/j/lRr44dzMj5Yh69qcI43/sNr/Ik/+nN8cfA2f3/5Kf7H17/IjXTG1Kx5JT5i26yoveHCJqx9wMvhgpfCOf/Ja39feBGNxWuNWuetn4IV7kKgMYtS/BQ2lbg2aS1dxKYWQ1ilUKXFnC/bB+6pXrvJ4pUp+aHDjCvZsHRrUyVrWYlM0FSNEb2Iu2I6Bq1+5MOVhY9IYcBL691lSMIHPRbDtaca6v7F6OLIJeZc9SSOLn3KdhJsp1pEXlppCYNRmNyhK9ebv5pKrOO7juQq7Ug8ILugW6+V6CLUB/0SuuCUbiTSDfzUZ38d5xWrWSay6VDJZqIF0sNlu4JtreRNSbtWlDuBKRX5DSsMyIEnOdOSKF3B1rcMzcCzuitZEcpCdCLAyPgt+TpvwP7AnGAvRwF3RhfMy4Q3Z/sY7ViuUl4/PeSFyRmDqOL140O+cPsBWVzxxsUBb8/2aLxmK94wCXMKG/QX8DTcCFPSxoyDHIvm0XrKWTXg/fUWr46e8rHBU+ZN1n+PUY6zekSoRU35sNjGoQi0416+R+0NpQvZ2JjtYMUk2KCVI1SW3yxucGGHJKrmtfgxf/A/+IfEM0t8Ke+fqjTUcqfUkSSROafQ7ZralYIvqFownjD3BPMSjs9wp2f4omTzw6+y9bcK/rMf+1sA/IWHP8Hbm33+0+/5P/iR0RsYPEuX8LDe4Wkz5XGzxdNmxJv1mBDYMSKO8oFBn13ihzIaYJRss7QWPoIT7kR1Q0hcap2LcIq2EzWK+nCCqi3N3pgmMZx+VuOntWxYrEJtAggd8XaO0mJKVJUhVRm2q0m5Lpw1bQfxYcvCR6QwyF1WiYRZXd2FO+prnSmitVTATtrszbPMR/uBVimMmhZ7oB3ar3gDQempR4ZmIJsCr6GJhbtQDxTOKOEy2LZYdVqKUMxjXXQFEvrW6anbMnRO0fUQPjt8wHkxwOcGF8vPKrfUB8BJryFcCIYQzzzVRLQUzcCLUexa9tLRTLwCBMtQLO9cdRDhzMhzCyF7rCi3ZMNRf3HJdJDzqRtHDMKKyzKT9Oo6wHvFwfaCl3dP+Mo7L7IqY57bmqGV49pggekcu72kXBsc17IFT4sxlQu4qAe8s97Dermwv3lxg0mc83x2xt3BOdbr3iH6fr7DZRvo2pGkrNeMg4LaG65FMw7jOaGyTMyaUDdo5RnpXMBJH5LpipnNOLUjli7lteQx87vhlVq2c1SzLdtTXRn4qFZha2YBptB9orm+XEIcowYZ/toOX/pzv8If2f9lvrm+xV/+1g/hvOL3bX2Hw2BG4UMsiofVDudWUqufNhO+tnkei6JGMihVUYm5SiZbCOWcSKrLqjdWUbMlGE14sUFtSlCKZiuDQIsZSxQQXG7EAn4ac/apkGrLEiS1JGi1VvgmbbviVg7Q3SCb2hAEVnJb22viw9q6wUfEqEUyBMQx2esW6deS6eAimQtXhwblpBXsMwu1xNlZ60njitqa3oHId7dxZK2kL6XjsKEi3EigbTRvWF+L2uQpqLPOOQj52kj1xipSJOT/mkTMSB30u3NTSuiMC2F9zfGg3OXpcsThnXNW9w5kVCjl51QTRdMqKJMLWUvmu23nMgbdKJrEE80UlRcbfVMqil3XPx6zUehKU48dwUr3eZb57Rq/JSfhXrrmvBiwKmPyKmQ9TxhOc25vXfLu6S6N03z61iOyoOasGHCSj1hWMZ/eOWJWpaSmlszK1R43sxl1O0J88/w6N4Zz3rg8ZDvZcGMwZztak5kK295rzusBO+Gaa/GcR8WU2ht2wxUbG1G6gK1ww364IFF1L99+VG0xq1MO4wW1M+xHC1zbltUtK3JkCqxT/OjP/Ao/97Pfj2rk9fNbDbYQ0VDn/dix/5wWPClaKtIzx/i9HB+FNDd3eOdPa/7s9/4DLJr//fIz/NLRXf7gq1/nC8N7zGzGw3pHouu94bieYJTjfbfDzeiC69El1mtOrXAvfFWhQomvJzC4OMQOI4JlKS7QjYU0Eb7CfC0EqzQhmOVixlI0EkW3yvHbI85fi1jfbTCjmjoP+5ucHtdoIyCrbjvlqgpapqOsKbVuiV3tyK31v4R+DOLYrK6yAozqtQfOyOcFD6BlCooZia+Er9CtKZvG0DghdVStBl+HDmp9pTtQ7d2/8VSToN8WVMO2qqqrfbepWil42FKk6yuhUxdm27EgodVHKDA3N6xszO5wzfHbuzIyPDMm6RqimZiSllNFuU3v9lRtiw4iyBXVlti11UNPk0J0KWIogOpmJePRRhNfSuhvuQXxtOBgskRrx1uneyyKmKIOyOKKg4M5zineerLPzmjNbramcgGrOibQjpPVkLvjCwJlWdQJp+WQ02LIMCx5e7FHrBvuLXd4bjTjnYtdtpMNtwYXhNqybmQrYXD9evK4FKDtWrJg3cScVCMmQc7QlJxXQ761usncZryxPOSsHlK6gL1oxcTk3Igv2+DXqzWbRTOzGQbPj05+k3/jD/18730h44L4PKrWH0EHnnoTCl28ZQ2LwM2yeXGHu3/hTf7qD/51AH728Wf52ulz/NEXfo0vjd6S9wnH2sVsXMxZM+K8HjA0BZNgQ+0DRrpgoEssisKHAjxaK2xF5/CxwbRW8G6Y0EXbywrS4w62BeAONGpdyN+XC/FeSENWt1pcoTOLaS/0KG5QSsRirnVK19rhrMY73ZsXKX31evh/Oojptzk+EoUB5ELrMgXkLoCAK4WsCDsJtjeyqsODTqRliqKGsg4Iw6bvGMJQQBnXmml0wGATX4GITaJlhEnFmAXotxAd+7JJxWLNhUJ00l1SVMtQ7DADG9MyLOGPv/qrbFzEvYd7JKdGwlKsJ1qKlZyN5eMmEQ8GoM9sjC50L+fOHitcIF0TytMMPcGindnPInQtjtDpiWd9yxN8z4xyGXO6HPDC7jn5WcbF6ZgijxjFJWlYszkdcLi96LNC8ybkeDMkMTV3phe8ebHP++ttbg0uSUzNtXTBWTEgDhreXewSaMcbpwd8/7UHbMUbShdwWWZcVtI+ly7gtBqxFy05iBesbExuQ24ml8QtiHMtmrMXLfnq01v89Xe+j0FQsR8u2Qo21N4QKstJLUXlrJHWXUxdIkoXctoIMPmlwVv8xI9/HRd7VGFa3wQls3ibUYKXDRa+DarR8P5PjvnEn/sWXxq/zZcXH+dvP/keAu34w7e/yvPxCYWLOGnGbFxM7Q0bF2G9ZivcsLExI12wHaxIdIXBY/BU3oj/YhDgpvKm6qJB5zUuDVF5JXqJLhtCtyPq1hBvDM3eGHM8w1cVBIbF8xluq0Z3I3KrD9Jpg7Wq10Eo7T7QHXcjtQJMaHsNifqQHcNHYpTo5u3OednHAth0rbysK2XvryzosmUiNuJpWJb0O1wLfVyd9wqTWok8f2bV2fkGmsr3dvKd41LPYPT0K9IglwtatYy7aqp6lSfQR6u51ur9tfQxjpvEgwpcTDWB5ExAVDcG5RTllhSk5Fy2L6YVVpVTeiPa/MD3VOlmIOvI6FJCcJuBjBoAZz9a4p3CrmOSccnmZMC3TweEk5K6CBgNc+7dO2DvxoznX3xKbQ1FE5DXIc4rvv/gPr9xfpNXt55ylg9573KbxmtWVcypGhJpS+M0Ty7HfPzaEz598JhHmyllE/DC+IwskGr5YLPNx4YnHJdjHIJPjIOcnXDNUTlFK8fGRjwtJ/zy09sM44qbwxmBclw2GUNTMjF5Xxy0cmS6YmkTljbBeUWsG2pvsGgqb/j86D1e/bEj/puv/CQqlhwRV2t8KXdXVRhMLve/zWsFf/bf+buMTcE3Nrf5J7NXCZTjzuicH5l8F60cJ82Y0oXMbYpu3+DLJmMr2GBaMBQgVA0D1ZG5AhJdyxgRBqhVLhwJaWXFwDWNhMAEqLzED1JsGmLyWoR9y1JUnmnK5RdvcPbpNojYt6trqzBZ0+emKCUjk7W6P/fxYDoZOsjXabkO3L9o5uP/V0ef8TAWDwSvZBOgfAsWPSNx7kJYXHsxd3wFpSQ123qFa8NnXKNESBS2Y4C9Au5seEV7tomMGD2Y2N61dSWgJICxtB4N8KzKD+gNS03hKVzI03KCf2tIZwHvQkWx9cyKzUM0l6IQz2QjszlsjV3Hbc6lB1XK6lI1iqB1lkZBfCmPe3NdeuTBpCDfRJSbEJVafGGoFxE3bp/z+P4uZlxhnSI2DWUTkARSKRdFzC89ucveYM3Xjp/jha1zrFcsyoTddMVOvOHt+R4Pj7a4sT8jMfJ9O/Ga+9U2qyYiNg3rJkIrz6w1wcxtyCTMKZ2YxT6XXLBpnW6+fP9jJFHNp7aPKF1Aaipi3bBqV5obF0nXUI2JdcPIFGxchPOmbedL5k3KfmRwXnM9vGTr+pzZ5eBKAt1oPBIZp26v+elXf53dYMXcDvhfnnyBa+mCt2Z7/CsH73AnOaPyhqUd4rxmaRM0nlA3rGxCrBvCttvJdMnUbIiUZe0jRspRuLCXipMX+L0pLoswc0mkNhdrGS+qUopFIM7OwTzHDmPMshCb+CShfPGA2QuaZloTaic8jMpgsta20Eiyu7W6dy+Tf1tsY+T/rcZWpjeuUR0b9EMcH41RoisKmcIUHmdUzw7s3JqFftxGxmnEutupHo3tkqdci5SHxhKHTUuP9T0z8VmAVvIh/BVNufGi9W+DU4WVqHqiVZc9Ycqr0aQLpO1+ngsUaxezthH1liO/3nzAGIv/6gAAIABJREFU4LR3fp7L7x0cSeGppiJy8gaGD0Qr4TU0Q1FWZk/aUJxaYXIZh1YvNvhYMJYijySJqRJ/hXBSYpaGs189ZHy4JMtKVpuEvAmJg4YbgzlpULObbZimBe+d7jCIak7zId+z85jtZMOT9Zifv/cip8sBrz73lDvjcx4st3i42sJ6xSgquSgH/MbxDRZVQqQt37m4xqxKGQUFBod+hrARKsvPvvMZPnfjIZ85eEztNbkNSU3NysZ9N5DbkKNyQmYqNi7ipBoRty3f0JTc3+wA8M7mgKEpWLiUH7nxNngZI3zL/sQpgknFn/nkz/NqcsT75Tb/66PP8snpEY83E/7AjW/zSnpEpBo2Lu47BYei9obLekCsGraDNbULMPjeZKbyhhDJ5XQt9oHR+LpGNQ5ztsROUjpjEDuMRX7dMS2rWkDIyoLWuFGKzxIuXokpDi1m2Mjavc248B5MIJ4bxvh+JQty4Tel3OOdk2jGILrCZp7N8PydHh+NjqEdJXoxUiCgYxcuGy18zyh8lqmhjCdK6l5eatr8ysZ2oKS0Y81KHI264BkXiEaiSVVflGgLkDwOufCjRctWbHEF5QRz6McScwVoKd/yLcZC4Hl3viuKPi+W93hFM+z0GFDsiFV+sdt2IEq2FvUANteE6egVDB5qqqmn2JGxQkxlFPyeS3g6gmENhZHr4CLC7JS4yuAeZbi9ivrQEThNaCxR1FA0Ac+NZrx+eohSnjSqyauQvcmKeZ5gtOM37A2GUcnx6YTb1857ItTD1RbWaeKo5O3ZHp/aOeKNy0NuTy8B+ObxdT59cCQbjnLUE5++fPYxBklFEjR88vAJ29Gak3LEW7M9rg0WvLvaZT9Z8bhOiXTDYbwgNTW/Mb/JzWzGuomZ1RkH8YLTasQ0ynlUCEnqW6vn0MpxGC0khCh0mKzhs6+8x8eGJ3wqe5//8+JTANxKL7g+nGNw/NEbvyKbhmaCwXPRDHBeMTQlpQ/QeIZGikC3DSl8wNxKYOxOsMIoR6JqrNf8pW//EC9Ma1QmWweFuDShFKpuMKtS/By9Fxm21kJwWhfU1yfUgwAXjZi/7GFci+6jO9e1AI1xXFMUIVFk+xHCtee6MhDFDbYRSnRdm9645ndzfDQ6hvZQrnNRanMrkWLReS3qxvd3Z689qgVgQFBY6xVVS//cynLpGEDwAnV1d5dcB4UzsDnUEpZLS312vmUhymPp0OzOBborXJ1Fm2mTmoO1fF++7wmV5eZwRnx9TbASe7cmEzGWrmTtGa6lyJgSym3xiagHXYGhNcgVoNJGV+Yt0Vyxfs6xvMzQw5ogFoMKtQnwAys2+scRLnHEg4rxKCdfR1SNQSvPYpPwtXu32R2usU4zDCvisCGvA+5uXTCfC9/hrfcPmU7XBNqRN+JvMYkKJnGB9ZqddMPXjp9jO9kwKwV4/OT+EypnuJYtKJqQygX85tEhnz484uZoxjguKJqQXzu5zRunB3xsesp+smInXjMKCq7Fc4ySUexJMSHQjqNcQjsCbTmtRmjlWDURiyplHJQc5WMuqoEYxDw3QyeW12485fftvI5Rjr90/0e4Fs+xXnFZZ3zP+CG34nPWLuaikdHhohmQ6JqhKam9IVYNia6ZtIac4iuRsmrFGZGyhFgMntoHGOVojjP0fC1dQstN8IHGjhMpBG3UnI9CujAZrxSEQduVevItI1F6CnRs+wwLFTiCwFLXAcZ4qjKgqY2Aj0q4PGJapPuVpoxU/gM30g9zfDQ6Bi8dgvJy0QS573Xvnfmnja5Aws7x2TVa1ITak0Q1tnWLVsozy5N+vLAKUOL+HM/kVwZri9eG4WPXFwBtfW/u6oKrfAmvFU5JKrKuhKjU6yPgyrKtgMHHLylcyPvLLYpFDDuWYG6uLOoGbS6GkudZjQXILKcyRqhGiFLxpZi/diE4Zi2W86vnLT6zsoqqJHlLdcYhHvybQ4iASU0xS2gGhnRQEQUNRRUShw0urbn3ZJcbezNGUUHjNY01zKuEW4cXnCyG3Lp+TmgsRjkuNynrIOSl7TOWdUzRBJRNQBo23Lvc5rW9Yx4up9wdlxzGwj1YG8m7/Ni1E06LIRrPVrIRH4fBBWflkNoZNJ7taM3jfMo0zKmd4c3FAVvxhqrlpTivyG3Mk82YO8MLLsoBeRNSe00W1EzDnCfFhM/uP+S5W5eEyvKN1W1OyiEvTU55VEy5lix4ITlhblOWLvmA1ZxpQVEQj49QWTJdiaBLOWJd82Czw8CUZJH4VM5cxq3gAouicjHP/WOHj0KCxxf4OCTYlPg0otwZkhQNPovRpzPc/pbwFFIRVpWHI4qdgGqkWd4RjgKI5gMFJpGU7E5WrpTHtWtPYfdKMeg65A5w7Il9nTnsh2Q/fiQKQ2/IGirCtSga66HqRwyRqPIBFaMd0DMfjXE0XbscWOGMt5Js71o2XBso2xm/eqN6azXXWcYpIJCRwpStlX2bXaArxOugEXxAOWgy1W5LOhUk/MG73+ConLIuI5SR5GNTBmwOJYszWLX5Fl6AzG6bYVq/UgnTFVdo+YQAkOEa1jelEpnY4maR4C6lJtzPsU8zkvci8juV2JnXGp00hFHD+mRAPqxxtaZJDJNRDmlJFla8ebbPJC0YJwX37u+ztb9Ea89+tmTTRLw/m7I7XJMGNe9e7hIHDVtJTm0NpQ0YJyVvne+xN1ijleOrp7d4YXLOokowSiz9bw5mPFpPWdWxsCm9Zj9ZcpRP0MqxbvGFp8WIZZWwk6z59ac3uTWdkQU5DsVpPiQNah6tp0zinJP1kF8+usP18QLnFdvRhnGQ8+Xjl5nnCT9155s9vvF7Ju8BcGGHrapTkZnqAxyJbhMyCTYkqmFu0/7/v764Ragc1+MZmzZur3DChrxf7/Gg3GX47adCbOqMX8IAlCK9PxNT2KKkub2PuVjT7I3RtRUbt7M15faE9Q1FeVijPSKSqjXqmaLQdIYzqJb2r1vfBbkGep6CugrSRdGDsa75lxB87B6yKaQ4VGP1AaGRKTvn5iueAbHrI8+1dlf7XpA5OGjEj6H7pG+dmNpOwBtFnbWgZtzRmtvVkLuSSNtEMiea1oy2HqjWxenKyan3gtSQmZJZnfKZg8f4wqCXAeW1WtyW2jFGpOQis05PfV8UJu+5PtnKhUJqCufi+bi57nADixpX2NzgU0uwFGDKNoZgqSgOLEHWoIc1KAhbM1Cdt6usyFEXAbcnFwzjkvPNgChoODqe8t6jPXYPF2RRTRI2vH58yNFCuASRtlzkGdM0Z1HEzIqU0gaUVsaTvcGaVR1xb77LOCo5zYdsxxu24w07yZrjfMQgqDhejdDKs2kiKhcwCCoWVcqiTrisUhpnGEUF3zk95BN7T7ksZEQ5LwfspSsapzldD7gsM05PxoTG8n079/nC9D3WNuJXz+9wkC35kRtvc1ln7IRrPjF4TOEjzpoxtTeclCPZMrReEACrJiYzFZmpqF3A0iZ91/DOZp8nmwnHhZjhFj5gZjMKH/G4ERD2r339B/FZgk9kJenGKfXOANU43DDGjVJIE8zZEtVYIT01jujhOd4Y1vuGYs+24TWISMrIqHzVKdACj46qVU7GSd2OC+K30HEV5JoQgFIbcXN6VlT2Ozk+EoUBd0VgMqW027YVUT2LnWgrF5FNQK0FXAGoa2l8lPJUjSEwlsoawkAAN5THh/5qtdiavHZS6G7tKElHbSFIrh6bM4J5dKBlp70I8o5/4XsH6VfiJ4Ta8vr5oRSZnRIzb4NQWlpz932deYvYzcH8rhahVwjxhWwitIXNDYfbqdFrI3cT41ErQ3OjBAWjX02ptx0+dpLElAcko5KqCKkeD+T5lQa7Cnj59lO++fAmO8maqjHU1uA3AVFWcWM0l21O0DBKSxarlFd2T3qMoXGa57cuyOsA5xVJ0FA7zaPZhPkmJQ4a8iZkEJYs6oRFnfDtk2tsxxuyoOLu9JxHyymJadB4AfjCklmVMq9ShmFJoB3XRkveODvgxnDOWSFjg/OKo8WYKLDce7LLp59/xB+6++u8vdrn/zp7me9e7vPx6RP2Y1EmvpQeY5SjdCEn9ZiLZsDDYpsbyYxQtdsEL9uHYSCVeWgKRkY0HEKBHvO14+d4Mh/zZDniwWYb5zUnlXAdpnpD4SNe+ksVKhdw0RuNOV9KmEwoo4qqJV0KY6RIdIf3KO9Z3fIwqQmSRvQQbbdnQulYbGP67qCuTb+dKMug7ZqvCkenNu6OD0ts6o6PxCgBLShoRZ8QrnybIC0kJAmKkda9M0fBgGlBGa19G+FOP29ZpwiNoyzC/ncIQcr34GGTqH416owAF8q1VvW08XXtKOPbnU/vxdCSo1ygel1HuBEG3HfOrhEYy9aNOZdPxxx+4oSzyxEVCS6RTqAbk7betKxuGOpBKznf9kSLVmzlIT90uKGEw/S5GusAs1sSfzPDhTD/TAVOoWKLazRmUFMsYrH/ShzBuOL69oKjJ1u89fpNBjeX/Prbd9ChZTgq+Nwn7nGWD3kw26JxmmFS4rxikJV86+g6xjju7lxwvBrxdDYmjSvmeYJ1GucUW8MNkbEsioRxUvCthzcJo4ZRVrA7XHOaD4mDhmvpnCINOc2HzFqm5LqOSIOaogkorBScUVSQTmu+/eQ61io+dnjKvfkOVRVwczLn3/zM1/mV2V1+/uxjvDg65awccmvvgsNoQWZKVjbhuJ5QuoCjckrQ5mOmpsYoJwXDCu8iVo2MPG0xQNneXep/u/9plqtUbAKN5Xo65699+0u8fP2YcMuycXf4n9/9PM89uYQwwO1O5OrclG0cgsfFIXq+wW9y/CCVODqtqA5HsJUwvxvT7NbiQNVuFFRsMaHtnc6DwOKcpmk0xgi2EMc1dS0gpNIOawVf0J14qtMJte+R+nCTxEekY0BAt25V2BGAaLsIZQV47GjSKNHWd0+4A17KxmC0E3q0cazLqHcIlo2DXMhNovvxpPd5rFv+BFe5lb2Ho28p2FY+16VldwYvyrX05lRhlOOFrTNemJwzuz/FDBrOvrmPvRQz0HAmVm0uFIOX9aHBFJ5oIeav4VLRpJ5w6Vk+LwQdGo0PHLpUqKIdI97KQEG5I+7FKrK916GdRVIUGo0e1KRZydG9XQmZMV6KpfL4SwHcLsuMYVSSxZW8jnWAVp4osAzSEmMcbz3dY5wURGFD1QRsZTlNo9kfr7hcZX1M4IPjHdKs5HC6QHfviw04Wbe6i6BkFBWsKnk9BmFFaQOs09y73GFdi6fDuokIw4Y0qXnnZJeqMXzx1n1+cv91/vHpK5wXA66losF4ZfiUO8m5AKXNQAxdmoQn5UTIbl5TulD8IvBsbESoLXlr2bVxEZmueq7CxsY8LLaZLzI8otb95P4Rf+ern8WexySmZtXEWK/Z/4up0JovZGWrZyu6q1BtSsxaugm2J2IIk0a4JKIeBuS7IcvbCoxoGsS/T6ED3+MKrl09Wisyaq1FKFWWoRQF5WnKoAUdXQu4d8Qa+fvD2rrBR6gwdMrFjl4s6cNXzk3icux71iJtNa3btU1ZBxjlyatQAk1aCqiJ7RWI0R7h2mHjzuCVtmOgT5yyofDqO7FVF2vXeTfYFpyUZKQ2pWot4OLMDrgsMh6vJ4QHOXYdMP74OV6JL0S12/TekJ0denohb2ByJmPF+B6cf96KKrQNlTErg02dZCe2q9eOBUmt+rEKK5RpV0ib6dYhyycjsoM10bTETGrscUo2Lkiur4Vt6zTvnW+zKSNuTmc0TlPWQd+FWauJ44YHxzu8sH1GFDRcbFJGWcm83f48PpuyzGOU8uwO18zzhGmSM88TjucjdrM1DxdbaOVZ1TFGO44WY/ImJFCOZR4zSQvev9jivBiQ1yHWalbLhDhq+KEb77KsY/6n+18QDMk0TMMNt9NzOQ+8wXqNxvPeZofShWyHa0IlJKtBUBJrUYtmpmJicilSRpSoQ1OQaHGJuh2f8XP3XwUP25M1e6M1v/j2i8QnBkYNTZuKdDs+I/7uY/T5ApWm6MUGHwZsXtgSLkNj0ccXkngVBQJOOocdhDSpZvaiodq2mMiJt0gp3AVnFWFo++7AGC+kJmNb6zZ9pawMBD94Vi/RkZy6LqF5xs3pd3p8NAqDap2Yg46N2IbFVp3Vu9ylu6/FKVRpeoKH94oslnVl1BrBdqsdrUR84hLfdyHAlftSWxhE5aZ656Y6a4lVyMdd8XCBap2dBJNQ9io8pmo3CU+WI6zT4kNpPLPZAAKPHTjS98Oex1APhcuwuK0pt+RxJOdw8enWGt0qbOqITuVE9Jll9N0QPQuwiafct7hJLaPWPMIVBr0I8IlFxUKLDhYGlTWUhXQHbhZhDjdiLV4FOKc5Op+wuchwXnHvZIdb0xllHXCxGLDcxARGwN3xaMNbZ/tUTUAW1Vy+uc1imXJ9a87OVOK7p+MNj8+EfPR4PuHaeMH2aM2Dyy3GScE3ntzgfDOgbGSjcboSDGGQVDw82cYYx/0nO8w2KaO05I986tfYHmz4yuMXAHh+es4L4zN+fO+7XIvmInKykThPb/Y4KicctDhDt46MtfAShkFJrIRdubQJmRZmZayatmso0crx377x45RlyPbWmu10w4PHO/hKU90puXntgnUTsROuWbsYb51wEbYn4vWYRmT35yKaCgy0sXQSqBrgkpBqK2J9oCkOHMFeLhuDDmgfNsRp3Vu+B0E7JnjBGpy96gy8B2vVM2bIgi/Y9qbY1AZnxc3qX1pKtGREXhGHomXnnETf0rtua6C9+PorLzmF2pFXIYO4YpXHPaimkBeLRvdEjyaRsaTLyOy6EeWEO9GZw0jgrXxthyv4VgIu2Q9KNhSmI015yik8qrZ5cfuM2kmbrVo+e7azIZhr8hcqXOLI9+UBdWE10VJIUrNPNLhhIyMEYHKNzVrS1WVINRE78/pmBbFFz0LCaYGqpFj67RpqjTmK0VlD+PxSBFabAHd/gE/FQDdLhM7ZNOJ8tH04Z7lIMcbz5tFBTxzLkgoPVC3AGxrL+mTA8dMpbrdiMt5wthqw2CRsDXKMdgyykuUq5cZkzuP5hMtVxlaWc3Q5YZwVzFcJiyKmtIbQWJ6cT2iszMdVZQjjhltbl/zkjd/k7z34BOsq4rXdY66nc/bjJXfTU+Y25c3NAefVkCflhGWdUHtNampyGxHrusUVrtaSsRLNg21PKN1iC6FuyHSFVp7LZkC+iXG15rnxJfdOdlDac3jjkmv7M47Oprw8PuHl5Al//ld/UpiOWYKLAgETa4sPNM3eCLXaQFlB41Blg49DmmEkZKYDj9+qMMbjqzYkKHRC63eq9zJ9FlcwRnCI3ti17RKe9XR07fum1dWN8HfDcfpogI9tMXMBV9Lk6KrCdQQgABf5Nk+ge1EUYQhRINLrJKrbF1faYRNYGhPI5iO4WkOKnVt7gjRt7qQBpxWmdaX2WgRdXbguSJBJNzp0Cdydi3R+veFhsc2T9Zi9bM39yy1Gk5zlwzG5U0QvrjAPB9ihxeSGYt/2DtLxpef8eyR41sxNG1WvcKHHjxoG341xoTz/ZuBhHcg4tVtSryNR0WUN0eNIgNqhwzfSFSjj0RcGdWtD2J5Ai2VGNihYng9QgWN/suIS2v24olxHsm7VniCwhGHDbDbAN5poq2B7vGZTRqw2MUm7NjuZDZmOhOOwv73gvdMddicr8ZVcDri+Nee9o112tqW7WOZJbyBSNUFP1vlXX/oWx+WYnzt6lUlaUDQBt9ILMlNxWWe8l++R25D3V1vEpiExNTvxhrEpMbj+dmfRaCxb4RqA2gU4rwVP8IbaBWS6YtiOE7U3/I03Poezip2dFd944w5o2D6cc3oxxh/HuJHlxeyYHbPi5b+Y4zcFyjr0eCD28KXQoMPHF7i9KSglJq9JiNcam2jqoaG6LoBjuWljBSuNGf6zWMAVZ0HhrGggnNWEUdOzHyWCwl8JBzU0lSGIJO1bK4/9LdMj//nHR6MwtHdunmnHOxfmpt3u+OBqLjeFpml39EEoTzkwjqIOiAOLbdsm0ay3KrOWGSi27Q6vxMnJRqrPlQjXvk+Jkpi8tkgl9CzI7hBMpLWRDxWmlBNyHOR87977fPX0FjuDDefrjJ27lzgP8ze3sVMRWhS3KrJ3I8IlZKeWs09rEYaVimboMGtNM5YMwulXY5bPO0yuqJ+r8BuREttU4edCdPKDhuS9mGboBYtI5IKz5zHRhaF+Psd7xTArsZ1XwQBwijireXh/l3BcEUYNxSZCn0a4zFFcJsRPQtJT8J+pGO2uqeuAZZ5QFiFxIm1vHMqKc5nL6HE6G2KM5+nZhOlkTVWGbOqQJKu4XGSkacX6NGN0IEVimJT86K23OClH/MLTF7BOcW205OXRMRf1gMxUPCy2WDcxlTNE2nJreEmgHONApNqNF6ak9jJCDrVsF0oX9hLqjvTUSagzXVK6kJHJSVRFUwXSGdzbxUwrojcy1K/tkOwoih3P7dunfCZ5n//4zZ9i+/EpaEnNxnvBERySGJUlqLJh8/wW8XmBWVf4LCBcN1y8GmLabE1fil+IHjRygbe+pVUZInehdpxVvh8JnFNUZShpW9352BYO78UUWT+TAt50SssPcXw0Rol2+9DpAXosoPNoaCnQollQ2ESID6ptuzxQ1kFfE+u21dKq3VwY14JyLbEo1n0+ZWcA2xuodNuRNjsTRe/bAMKArLMrsxcbQ7hxUnDGFR9Ln/LOco8f2H+PeZ6wN1xz9mjKxeMp6QsLUJBOC2g01URi91Y3xO49mBsJas11P3PGxwHFvrg72bRltSUOO2lQjWQl6EoxfDOiuN7Q7NQ9YEkt+ZTNizmulHlzsUxZHg/Z/pUI/eUtkoch8S+M2P3VgOSrA/jaBJTwKHxqoVHUL+Ssr3uydyPiQPQY1mpGQ8lR2MxT5ve2ODkdo7WE4wzSirBVty6WGXYRcvH1fZTyjIc564cjglHN5u0paVby2b1H3Fvt8mCxRWQsX7r2HnvJikA7tsM1Z/WQdRPTeM0gqBgEpXAh2jdGK892m3GxFYhZbagstu0QkrZVdF4LSPns9wVSnP7r3/x9TKdrnhxPUYOG638zYvsN2+pZPOGdFf/2c79GqBpG/+UInNzhVd1A3aBna/Rq0xqzCCU6mlXossFFAc0wZHkzZnXH9lb3dAzdRi5oZ2UtGcXyeI2RjsE5GSFc68/gn8HLoKU+t+7RUVz3qd8fslHoj49GYeAZ1iHQeRZ040R/odbddkJBIDTQTlLqkTfZOsUwKfufGwRWqMmx663dhT3pMbWXFWNxxaPo1JfetI5StVi/+5ZL4dvsS29Un3RdTrREq88jHpS7fO/2A37j8ibPb51z770DwmmBGVesTgfgoXpvRLKT40PP+oacdPK8OnwD7NBhlkYk2KG4ONmRhUJDpQVkjKWzCDaK1fONAI0bg98vURtDMAtothqCsCHIGrzVuGXIzlcDlndg/umK4mZNvu9Z3JXfm554ordTxvcdNIq925ekWYV6YY2LoPpHuwT/aEr9YMDl0YR8HTHc2hBc26CMx/76FL4ifAjvFdf3Z7jjhHBmuPuzC8p7Y1abGLNb4pxi9+On/PDNd/j5/4e6Nwu2LM3u+n7fsKcz3Tkzb06VlVlTV8/d1S2pZZDEIDFZLSEgLCNbYIf1ALbBQ9gOhx8cDj/YAYEDeHCAARtZloVAYEADIdGSrB7ULfVQpa7u6uqqrCHnzDufe87Z4/d9fljf3jclA1JFQERpR2TezDudc8/de+211n+6dYOyS5ivcr5l5y2eH93jXHZK6RLpGHTDLKnYTFfYeFFnRrIUrBZDF4BEC3lpzZbDngGg8gkehVaeXLcYgiARqiFRHf/w4Uco0pbj4zH5azlP/LjGpZouUyx3Ferqkj9242UuJYf86P63k3zjDipNwQeRUo9zYT1ORpjDBX5aoI8XkhsRAhiFSzXLS5qQSYqaTjwqxujZXHwcezQhS+SO1bZGUrStE2ITyGioZb+m4hUcoqsTQF0lcm+NhUL3jMp3cLw7RgkY7NzCY7N9GJ0xE00t/ogui5Blp/FOkSYB8xgUkyUdq1rIK0Z7VnGRpBq52HszFZdr2uIsr0I5QUaSuTDJXMwtIEqydSd07UDcVURXKeUgjVqJ7JHl2fw+X1peG9rcC5cPAdj7+g5qpyH/Zk71TEV9fwRJQPnIdrTRpGUS8Flg+rrsHpaXoJ0Iq1GXMZtyqXFrHcXbCe00ojYLI52UAvUwE0PZdQn1bcpEllC1prhrOfw9FaGSIpIea+xS4NlkIZ3R5tedIC6ZI7fyeo6LmqPzOfV1KTBUmuTQsPFZQ3FgOb1ixfJfy+vLz69x4VcO6WZTnlkec/y+daoLI575W3u88l+vk44b/uR7XuTnbj3Pz7/xHNZ61tKSF67fYr+e8Brnsdqz7CQbE6CIuwGtA22EJjPd0nlNbltWLh0UkoCYrKiOTLeD+UuuOnF2jp9zq9nmn9x+P/t7M9a/kHLpgcdlntMrSTTwUawuO77/6Ze5lu+z9Bm3/3AB22uEgyM4vw1th1pW+OkIcziXvULV4mcjITQZjWodR982Y3nFoUcdrjaDejKbnd3IlBLX8+Uqw1g/BPf26Fs/WnivZEyOkmuvzvZDSgVcbTBZvCkGKRzv5HjXFAaBC0XdSBL9HbXwCLpcDe5LgOgOIj+h38b2C8cQIUulgvgyaE/obKSLcrYviBb0QfdiKEV2JOKt3sINLzCpixbyQ0pVK3sFn0SBSqJIVoGgA/dawer3qgmLJmMtEzLP+MYJ3a9tsLrckb+ew/tP6d6YkO8LbGlL0V6Iyax0T/VmRGqyOFcEec5u7BjflKLgU3FJ9pnsOMxCbiHduhPU4iTBq4A+tay9pjn+YAudRpeG0V09mNBkx7ENXXqSeYfPNDrxPDyeEgIs90eocUf6dsbaa1BksV6+AAAgAElEQVSeU2y/VFOeS7j/bZb1b8LGN6NFug+YVUdIDPZ4BUqx8WsPZUufJNBofuDDL/J/f+Xj4GFn94RnNva4WhyyZkv268lQFDyKVAucaJAQnJmt6bzBmEDtk2Gs2E4WrHw6sBhz3TI11ZB21dvFHbZTtpNTfvz2x3n7jXMkR4adr8t50S+kbRU4vappZoGnn79LYaT7+H/2PgLawPEcNRnjrUbVEbJMtEirY7J1uzkifbRAlTV+XFBvAWttTMkSOLo3YVGKAYloGnFicp24NLXNGQ9BITRnF7kU3guhSRK+Bbr0XUzj8kqSuRL/jncM75rCgBKKsqnPYDxbRpmyiyzPHn6xwgbUmRQAFxRWyeKmbIRXn9reTSWSf7x0DH1WRNAMcmtTxdSrJBKdtDhJ9eODdqH/VvI1PbwJZ1oLA+vfhMvpweBP+AcufINP7z3F5ekxX3j7BsksMPum5fS6Q781IT1VVJsM/pHNumd0XzqIZio7l27moqBM4UcOvTSM7mtWuz4G70Q41zAEqjSXRWGpTq0Ir2pD/igWhSRgDhLSuXhO1tuO7MBQ7kC76VG1YvezIgNOv5aQHwaOPt6QHFp2vmw4vqFYe2PF+quOW39oSn3e8dSPlbjC4jKDyxTTrz4Sl+TFEjUWVZg7t87D797lxg9+k+v1A37yn387m88d8Acuf3PweZx3knO5dCljl1C6hDQugU7agrWkxKjAcVuQadFbFEZGCBMt1lovBeHN1RYfmt4ZTq+r6T53mi0+d3Sdlz77NGuvy7L5YhdicrlklKKg3NKSjPaROTc2j7gyPuaZ/D5/984nyH9Ew3YC+8cQAj6z2LnHjy3mcCHnRdWCNWRv7Q8eDKsnZ1QXOvl99fB56jGZsEuXpXD9kzSOEI3FRq2ENv0d8axj6B2cQqfx9jdf+P3NMngxKnLdO98YvGsKg3IBjaIbiVai90rs05p6F2XVyXLOTztxiI50zybSoW18EfvOARBDFyMIQlcobK2GxwTZb/Qwpq3CGTMxMIwZJpKclJMCkqykGCQxQco0skj81PHzGBV4//o9Pn/4JB/bepufefu9TM4t6e6t4zJIjwzdxNNORFjVZWLsmh5pTCkdhE+h2+hQpZZ20gNeM3qg6cbSVfjYSSgP5lSjnWRd0mn0qRGreadYe8Vw8ozDzC0+82SH0p1Ul1pGbydCzloPbH5Zi6Q97lbW3ggcP6vJ38xI56CcZ/urHYvLOUfPaia3Axc/07H/wRGTB07MZe4sWb5nh/HXH8lre3QCRc7iiRHnfuAWL966gltazKWSF87fxuCpg2XRZcPdvxdCaRVovCVRnhujPW5XGxSmpTAtNu4Oam+ZmJqjdiR3dS2qyJ10wUiftejfKC/yUz/77Wx+LbAZg4e8hXasZfG7UlSbcl6cXvewU3N944Tr0wOeKh7x1/7yn+T8p+5B28LRCVw8hzcKvWoJaSIxdKMMbwzYCIM3LapzgGP+hEVPysEfIXSyLEwSR9VIR5PlLXWVYBNHknaDZWGSOJo6Eei9MxLBZzxag4ro3LBTQHYQvosuZkghsnnHOzneHYUhRC1EpES7TH5BWRnwTaCzcc5KYvJzr6PwkteXWofR4slgo1FLCIqySciLhuVpPig4hakoL6BYw8uFnyyFzag6wEZ4tOsZkmEQeNky0KlIjnICpybLMNy53zrd4vt3v8Kb9Q4f23ibX9l7io/vvs3Pf+157DiQLBTjj+xzdGsDthuS13KaKLUe3xWrt6ChG3tUqcHI+KAahVlpyp3oYhWFMiHx4m+oVAzhka8LibhKr39dM78uP6+bOMzCoAJUTzTYvYR2Ftj5cuDip6u4SJOTOliFywy60SSnsPrEktXuiOxQUV7wXPrljv0PWBZXMp74uVP0ssYXCSjF+JU9wqqUQJUs4+4PPsXu975N1SXkv1FQfXDFH3v2ZW4tNzhqRuRGzFbGtqZ0CeVjWobCtNTe8o3FBdaTktpbISZ5+Zyxqam9HQxdptEncitZcupzFi7nlx48w+k/3mXz2FNuaUn9GitJVA/yO15ekt/p8qmWjfNzzk0WfHDjLoly/I1/9D089al78vOkCezuyOsUgsTOOQcmQc9X+PUJofNgFBhDSBOqi1OqLUEhlA6EyoD1pEWLcwprAyEE6ujb+Hi34JxCRW5zCEp2iDoMxUDMWSL9Oe4WtI3MXy3FVeUdrn1nXcO7ojD0Dki9XqKf8bs83rmd3JVtBV1v9daJ8adPNCD25j3T0WhRtoWgKFfZ2QNFiLErhMNgWukW2oxBzQgMno7dSHwnXabwQcJnpIOIF1oiH29HIqhKloH7P3OVz/yJBU+PHzHvcj60cYe9ZoJaWHwSKM/B6d11MIHkXkb5REv6yJIdBcpzsoxqNkUYBVIQfOEZPTDUG1H05cBNxTlaLw12pYQifakRkZUJ6Eaz/SXF3gvSKUnGpcKWkph1+WcMybzh6LkMbwNHzxZsfGOFbh2qdZS7Y/Y+aCn2A6vzio2fG7F2s8TlhsP3ZNz+Hs/GbwTy48D9T0y5+EstZn8um/n9Q5RStB++wRvfn3HpPfe59UtPQIAr332LG7N9ll3GSVMwThoqlzCzNctOMiiWLmUzFVu12hsS5SXUxqWULmEzXdF52T0kyuHian5kmoEifeRH/MxnPopdirP2DKhn8vvSLmBaqNcUzZpiecWRnCvJspbzacu58YKRbXhPcY+//r/8AE/9/D3c5kR+715YjH1XAHGsPF0RpiNckRCsptpJmX15ThgX7H8go7rQgVOEVqOcQs86vFfkeStdQFBY64edATB8fLXKBr+RgOzTxMpNJNhByYjhnYkF4qx7ELs3fndSovu7bVfEGT9Sjn16hiQMXo+9Pb4W2bWJugiA1Ip1fN2ZoQ3rK2+wYbjwg1a4TOY8FUVQPiUKp+RzRM9wJpjqxVV9ME1PcHIpg4uTLQObr7b82fOf5guH17hfrfHy8UXmTcHo0oJgwhAllxwasudOSB9akrmi2lKxaMlC0eces5I7f7ovPIee16ECwlUI0flJBdxubJsV6Cp+3dITUo8be/L7lp3Pa9ZegwufOcElir0PZSgXGN9rWL9ZocsO1TrcKOX4aUt5uePwQ47sGLY+9wBdtaR7S1YXAk/9eIN2sDyv2f3MCfrREX4q3oY4B1nG63/a8tEXXuPBly/g0sCV77pFYhz79Zi9akLVWQ7LEbOkovaWeZdRe8vU1rTeUDkZI/qMChcU57JTcahOKjpvBkv6nqfQ+0V+7m+8wORNjSnl9V5clVGwHSuqTc3B+xSHL3S0L5xSXFyQZS1GBYqkRRP4wPQu//t/+X1c+NnbUFbohcTM6dOS9tyUkBjcOBODV+8JkwLaTgr7WkJxv8LPRrQbBcurHjWWu41KPUxasqyN+apqOIeVCsO/u1a0QFWVkGVyAYilQwxudnIyuE4umK5K8J2S5LUAxO/rWxN3Gv+aUQml1BXgR4ELyKT7N0MIf1UptQn8PeAa8Bbwp0IIR0r6nr8K/BFgBfyZEMKX/1WPEdQZhk9c8Llc3I26vA+cUYO7kUiRpZXyPiorjewXms6QJeLepNVZfN0QIrsS/oJugpjBqOj32J4lYflo8a5bIZgAQ0CNyxjs7IOKqEUqxrJdDsFobjbn+a6dV/n142s8u/aQV0/Os5rnrD1xwmm7jpm2+FlDeXNGWoohbFeIVXy73Yr3ggq4qfAUTKmotzymVsOiEcAuFT6DbupQxwmm1vjME9KoJQkaUk/yMGF8NzDa67DLjtOnJhy+V7H5dc/s9YXYmFdSFNrtEavzGeW5QLZnGN2D8587pNuZYU9K3vqBbcZ3A0fvKSi3Fes3PfrWIwJw/7s2qTc3uf5/3OaNP3OFK0/c5yufeYZus+OJJ/f4wxde5pXlLidtQeUsG3mJVZ4uaB5WYrm2npaDm5NH8bCaMksqMtNhlWe/npCZjkwLDKlVGMJ3X12d59defJoLn1b4jT4DFcJGizu1HH0wgJE0pyxvGcULcZS2nCwLVNKRmY4Pr9/mH7z1IXZfukeYFKi5B63wo5x2eyRZlKUUopBYSBMJq/WecHGN0VtzlPf4cYZPDUFHCr9CxggVaFNLmnW0rcHG1j+10vk6pyUKIHYRj4fSCm/nbHwIQUZqdMBYQTJs2hHi9xmSqN6h5+PvpGPogP8ihPAe4FuBP6+Ueh74b4BPhRCeBj4V/w/wh4Gn458fAf7X3/YRlGQ4iAz5jP7cTqRrqNd6WjLoWsndMubyhaBETQks65TUOtooKjG9Cs0p0SA8livhU9kvdJkafB/77AiRUwtSAbEANLKsgrNMSzgLvvWxc3CJ4mcfvZ81U3JSy/Y8sx3f//6v0HQGv9OgbueMRjWqU4weioN0sxboRh61kh2AXWjGbxombym6acCWUowkezNgVhJAA5A/sGx9RZMfKEIePRxMoNzWZHdSrv5CzfZLC2zZ8eDbCmavnXLtn5yy/sWHqKaj3hBjUl8kmEXD3kcU2aFi66ueC79ygF5U+Mzwyn+6TrKQIN56Q/HE33md9c/dhp0NWJtw8qGG7BBu/qV11r/1IQe/vEs3c3z7+1/jEztv8KiZcXe1TtUJeqBVILet0HmDEpi3nHDSFJRd8ptOkakVKNSjhr0DyPjwsJ7yS3/pE8z/o22e/j9LDt4nkvpmPTB6GOAkQW/VjM8tKTZKIQbFUdOogPOa82unfMfl1/nuc6/wkz/xnVz4zxsxbC3rCEUaQpGQHK7EeCUVT0cSi1pV+K0Zfmsde1CC1bQ7Y/Sq4dFHhcwVnBpYjnbaMh7VQwfQw5Wd13SPJUaJ34h0B71wqi8GxsqCsg+TUXHvoHSga6xIryMaocw7Jzj9toUhhHC/v+OHEE6BV4BLwCeBvxs/7e8C3xf//UngR4McnwfWlVK7/8oH6enGbZQ2R1VlL8PW7symPVhptYk/bI/9WuMGolNipdp2XotM1URjl8iN6OnQ/WJxSKbKzp5PbzoLsVA08fEjPDkU8RB9IlRkbyr46peeJFcN33P+69yv1pjYms8+vI4xnt1zx5z/0EPKV9exNxZ0I7F7A9kDoAR2NJUiWKjOyfNxeaArwhA2o1tFOw10my3VxZaj98m4c/WfKpITIS/pFi5+ukY3nv0PTZg/kXPuizXNlsSjYQzz59YZvX0Cjw7RZUt5cYxycOFXV+SHHSG1+NmIvQ/lXPxFjSkDex9VXPrUCarIufvHn8B/8w14dMBovWTyRx/QlAnHv3qe1ZWO3/Phb5BoR+0tx91IfBvLsXQKXrOIxixaBeouWuApz6JNaZwh1R2FaTlsxpw+RnbKdEftE37iGx/l4N/dYHyv4cF3bOET8Tgod4QwttpVwnqNF5lSgSxr0dFZfJw17IwXPL22x7X8gP/tH/whnvib3xCrtt7yPUtRpZwMqvOSUem9JFOXEmWPh1AkqKpGHy9I9lecPrtON4auJzN1WkhtKrCqUqzx0t12EjWnegp/fNvvGnRvBU8sCkYEU21jH4MyxcdBPbZfkCcc3/yb9GNQSl0DPgx8ATgfQrgvTzbcB87FT7sE3H7sy+7E9/3Lvy8MXocQ23krF6NyAV0TPRYDulbYhYZI/sjzli5q11tncF5RteIIlBgJttVGPB97OrSuA9lRh+5CvPszUJJ/0ysSeiJTLFJxgx10LFyJGLq6TOGthN/WM8W5X4e/c+vf4o1yh+cn99nNT3Be07aWnWLJ/b01lIPxP5vQrMkLEJJAcmhQTija01tBuog80E29QJmVZFQkC4UbBdrNSPKqtSASAR592DK7CZd+GbK5p1mztNNEaN8uUO4kECB5dEqzO8OuPOpkgYpt8vENi24Uyd4C3XjajZz501N5fUeK02uw9VLAHJxy9K0XOXm+Q6+vUX7iWUZZy4OvnWP8tRxXBL7zI6/w5OiAqa2Yd2L6arVnLasw2jOyDYsmo3GGurPMm4xlm1J1CalxpMaxkQoSsZ0t0IizEwhM+bn717jxP9QEa7AnNdWmojyfsvmiodlx2BVUFzohfQVYHI0YZS3TSJkv0pZx0jBLK54s9vnrX/h9PPlj9yWDMiZGYY0kTGUpqmxxsxy3MaJbK9AnS4IRdEIvVuhlDWlCyFJ8alntaNqph9rEG1nA5h3G+kH2XreWLGsH/YkYtAj70UW2o3OiC3KtGUZbBaDC8PkgOzfgLKaPM8ajf4dcht/xZyulJsBPAX8xhDD/V33qv+B9/79ypZT6EaXUF5VSX2zr5TAP9i25T6M7Uk8m6hGD0CMVsmNoGivjQ9T2KxXIrBse0DmF75Tg/r20OlO4XEdOglzQQ3hsrsSDIeoi+rRtF/0hlZfP6X0Yev6DZFEwpGktf2KXH9r6HHfqDa7kh8zyimqRcnu+xrdcf4t20+EyRXm5jYiMUKHtQpGeKk6fiMY1yPjk0zAgNKZSdLs1ZqnJ307ZelEzeqBITgPnvtKx/lpNtS4XQ3bUMb9qGd9vGN9vWXvlmOzOMe3OhDd+IGHy4l16J9H51RzdwpWfX4LRJIcrVudTsqOOi794yPprJemJYvPXHtFdWKf+04c8+7dWLL/tBnf/TM3JV7cwpWL1gZJPfs/nmdqKo3ZE7S1d0EPatVaBVDtOG8nHbLyl8bIwdkGRW3lRT5tsGBlO2gKrRUtw3BS8dbrF0cGE+XPrPPq959n72IydlzoWu0acvU8Nyyue0duW0T2NepSRjMSvY17mFGnLNK356OYtttMln/l3Psjz//0DgRidZESEQoqQqhpCZmT56wK6bEn2FxEiduA9fjLCj2PLqRXLJyfU6wqfB3TUt9B7bBjxXbDGDYG0vd9CU9uhe9BxPOgdnNJckqZ6wpICUWEC2oiNvITe9vOyjBY9+/GdHL+jwqCUSpCi8H+FEP5hfPfDfkSIbx/F998Brjz25ZeBe7/1e4YQ/mYI4YUQwgs2H5+JpKICUu7IkYjkITuJxcFDSJAINy/Lmbq15Ek3mFQoJfoJ0acHtJVl3CBU6o1c4/dPF2FwYeozInwisKZPZKmo2zC4SAmEySCuQkthaKeyt2gmAov9j7f+GL939iorl7GWlrz/+l0ADusRpJ56S9STBCFuqZhLCWLbJk5WAkv28nNTKVZXO0JpMStFs+k5fgbakYxJx09Zjm9krL1ZYyrPyY2U0Z4n21uRv3ofPV+xeH6L46cLoZYbDV1HGBdDwI89WKBWFd1aztrLx5g2SrhzQ7MeIE2otnMOH81wueX2dyu2/vEIu1LsvPCQP/rcyyxdxmknwS4+aA7qcVwqampnOWlyEuM4iaawh8sRzmtmaU1qHNO0JjOdhOEETesN86Zg1QmUeW16wKXdI+o1TXHomb3dcvSsZfxAdB7rr0LYbGjXIj+lFc9EYzzbkyXX1g75tq03+cyjG3zzLzwniILRqEq6iVCkEk+/PsJPomW41rTTVFyf2254X0gT3DSjnaaE1LK8sUE91bIs74v5SmNSz3RSiiFNZwdiE0ix6CLCEIIanM97v4r+vBbhVDQoip1C/zXBa9nV6CAIRcyv7OnS7+T4bQtDRBn+NvBKCOGvPPahfwL8cPz3DwP/+LH3//tKjm8FTvqR41/+IPGOmwqHoL8L40XY1BWy9dcO4R5o6Rj6GczGnYLMqvKl1gjhZUjCjjTU3qbN5aLDsGWgy9SZS1SvnozOz/3hrTwHl8XnY9XAr3hcvh2ifLzLFHd+6kmmpsQosUa7Nj4gMZ5bhxvs/EpCdcFhl4r0JGLbEZWp1wPBBrqJQ9dKoEgdcNcrqh1PcmxIDg3tpkdXiuKRYvdXa0Z7jskdR37saWaWg/cmVFuK9ETMQ0KRQecYv7WgPKdIjg1huQJrcdOM4tCx8VotcNy4YHkpR1U19kRcj+sNy+wNcNOMW58MjF5PefPPAbOWbO7oxoEPbN0bUqZkweg5afPhdVy1chdOtRuw+XvzGRemp9jY8c2SilR35KajcYajasReOWGWlrxn9oA6siGLpOX0CUW5pZlfS2jHsP8hTbWlKHcU9k5Gu+5YXXKy1PYwLSquTI54cnzA3/vJ72TyFy3J/WN5fawhZCmsT2WXoBkyIFTroPMkJxUhtRIxl6UD6cmULdndE3xuyQ5rynOKdiYiKF0roeQHWEWLvTzpoj5C07aGrl+YP4YeaO0HizetRTPRdRrXGZraDoWi//jZNRuG9+lE/tj0Xz/z8duBfw/4qlLqxfi+/xb4n4CfVEr9h8At4E/Gj/0sAlW+jsCVf/a3e4B+bpekKM4GDy17BltKtxCIPIcOYfwh1ldF5oYg294iLDEea6BuLMFLhyF8CRWj7D3dSNNlvYtToJnG+Lgg/1cuLkMjkUkeO2A6KSxiDivoRejTqgzoUt7mh56/8IUf5C9//O/zRrbNreUm19YO+cKdG7TPgT3RdOMw7BVGDxTNjCEVy6w02bFC7ee4HNouJ6x3dFYTMkfxlpxkW19vCdH9Ojt1zK9YJvdlxp7cd7hcy1Z9fYw58NTnRozvB3SnYHMdtzbi9u+fcO3v3SeMMlEEJpbp6wuW79khnbe0Y0sz1mz9xor5kyOy+4rxvUCyHLHaDdz7oRXPX7zFvM2pnOW4KdAq0AW5i9Wd5e5qxjhtqTtxoZ5Hp+i1ooqSaLnz9dbyAOezJU+ODyh9ytjUaBV4stjHo/Azxc0ndyirnNGDwNbXHKP7FTf/RMH5X4PRw4Y3vi8FFWi2HazkdP/s559n+obmyX/wBmFjBmWFIgbGDMO52LSpzgvLUWvcOIqxHhyDl24rTEf43AofpmlxuaVZt9Qb8eKsYuJZGphOKuHaxD0YEP1J5SLuut4FWg0ZEgQRRikFxaim6wzd46avA1ohowQRpjSJp6utvK0s7h0uH3/bwhBC+Az/crDj9/8LPj8Af/6dPImex9AbsnRjYeeFntOeSCaEJyIXWUDVGj9SgKG1niJtMdrjvH5sgys887aPCLeCbQsPQRSVAw/BCjSq20BIHitW9MIrgTiFJh1iZF2vKxBEI2gpFEEjmRg18CDj1WqXJ/JDEuVpg8ZOWlylyfcM7ThgK8gPFM0atJMw7FCShSwUm7UwdAfpnmX6Fhx83FNe6ijuWLpCU880a28IpLfeBlQX8JfNYH2vmg5VtYQioxtpRg9bmknKo997jtlbDU/+6C3chQ1U2YL30Dm094xfWaHajmS5In3msnAeHOR7io1XF9z8gTF2pajnKS+trvDsk/el7a9ybmzs0zjDo9WUurMSGwjMsoq7J2usFZVcAM4IAmEc8yZjlLTsjuZcLQ7Za6aUPh1YjiufchSE0FLohq3NBUfbKdmRIj9sQSlu/P2S+Y2C4xsZN/5+yc0fzEAFVKN5uLdGeiojIkUuYbOTEartUHUrxQGGfYEbG8xpjc8NIdWYeQOdIzQNqjR059fQq0a6250ZQSuW501MOGfQnoTMizu806yqlFHeCDzpZNytqmSwZztLsw50rR663r6rsImY5XSdoeOxWhbdnR5HJbroFt6PFb/T413BfOxhQIIQfewSfB/jlvVLvyAJ2BqZw428EEnakdoO50Ub0dvGt05jIsyj4ujRMyzFsk0PhrAuizF1TYjRc2oYYSSOrmcbhpg6JQG8QUVTlezMtLbfTRD/bZeK3eSIi+kRVjtO25z12QqCeEvoFpqZlx3FRLoa7SA7lgVnsxZodhx6pVGtuDi1E0V+J2H2TUt6KlyK8YPY8vrA6I1jTOPZ/mqN6qSgNdsj2p0JfpSy2jKMXr5HN4FyR9GsWeg6KR6tiIGwBp+nAufmGexs4grL0TM5B+/Vonydpbipo77QMj2/YLa1pIqpUZvFKvITNI0zjNMmWu91HFUFu7M5o6Qh1W4oCo0znCwLnprtScBtMMxsyTgGwGgVogFLN/yZZDU+k9FvuZvKCLg3Z3VOy6J4EpdzpcFs1dhERh7TgB/lUeQUT0NrCKml3RlLx9B0qBDotgpxBrcavaqleDStpE4dLuPrHklQiZKlYyaENEAcyq2nba0syXs2bjjLRZEFo6AR3iuSpCNPW9JMKNN9dmXPc/ito0cIYu/WZ0h4JwVCWS+GxL8bKdG9Y9Pg5DwCoueibiXhaXB0CkQzF1kq9jMYiEnLKGtIjRvasdVS5ttghcegOlAhkJ50kj49Eu6B7nqU4SzwRkXKdJ9VKYpPoUgHFSnMY9Fw+ISh49GPUasJCo/mXrPBtXyf3fyE5a9uM7upB31IeiKLKhWXkPm+8Pvrc45202GWEUHJA8VDTXoSWH/dc/GXjrnw6RPakexLzGlNcmsf2o7ksOTgvRnZUYNuA0dPp/jMYA4XA6373JdqVk90HD1joMjF8jyx6JMlarHCnCyhrODgCLUoefSRjNPrsP0bjuVFxZt/XPPB97zNM0/dZ3d6yiSvya3c7c+P5sybnOO6oGwSHp5Msdrz8HTCKGlJteOkznn9/o6YytYZ50enfOcTrw+sxg27ojBCgKq9xM27oDHRwem4k4Vldn4l9nfRWSvkGZd+8VhcuHJFcccQkoDby2lXYsBS7Hv0sqS3dQ951tMIhaTkQdUdqnZCFa86TOVQVS3dxWQsxWKay6jRtOADp1cTyvMe3WhcJuecH8dMUe1pW0HP+sN7RVUlMebe0DaCSjinKeuErjOkUWnZdZos2raJk7Sc+95Fn0cVcK2MI8aKaY824Uzm/Q6Od0VhGO7kndx5+0VeT2MWnwQ1oBWDhXxkjrXuTBtRt5ZVjHuvWkuSdqJq6yRGvvdubGdGCk8fcvNYQdWdJEENOZX6rGCEuHPw2RmN26VnP4O30u30npC6gZGuGZlashOzY0aPZOmZLBTZUXSPKmIHUkkH0qx7gg7YuaGnZ9uFopkGdj77iI0v7kHncbOU9ddKkuNKko7yFFJR+tll4OC9BflehQpQb1hoOymwSpE9WDB+0zl1y5YAACAASURBVFI+V3Hvj1yUqPZlKcEonSOczAlti8oyHv3BK5TnAvmeYrWj+cQf+Q10JYjBVr4kMU4oztpTmJaJbbDas2oT6toOC+JpLmjDsks5PB1jrGNtVHJpekJuOg4bkU+XPqUOltpbCtOykaxovcEoz8RUbNoll7MjLoznZ1br0XVLL0vUsmLtjYYu06y/7kh3VoTEk4wbgobx3Zru/BpuZw1Vt+LbGDsGt5YTMoNbKwiZoZ2lVJcmmEUtMGYiHZaf5OiTFWol/AVfWOoNMRzCQ3KqhcWbyBixOikIQSwCfHR3VioMQqoengwhWrrFbqLrzNBNVFUydA3WSqHRJnYEKsbdBykagkaATkQz8U6Od0VhCMiF1Y1+C2TYx9W72CWYM3aiquSF816WVkoFfHyhU+tY1SmjVOANnTqCDcPI0BUab9SQfN3f7UPsCEJELUSzIR3C49Rnl0nn0ROf+vSsQaSlzkxfsiMwBEa6waH5ibc/OjhTm/Js6WpXivxATvB2GjClJjkyjG8rdCeJ18IEVex/4hwcHBGKhKNncpJHp+hVI1Zip0vZsKcJ62/UmAZOr43IDz31TNNd2qQ8L1ReQmD3cyU68XQ53P1969z55CUGjq42qCzj+BNXqL/3mPE9ufC6P3TMp9+8QVhv+caXniAzHcdVgVWe65N9rHaSYF0VVK0dVIOSS1kzsg11J7Td9amYr4xsg9WOtaSk82Lb5oJmZBpBdZAxYmIqproavBtT7biwcUqz7ulGimZmJScyS8luHQ3EOO80atyxtbYkPdYkB0vsw5O4H/CEXOBJvWqwD09k8eg8QSuSRUt+d4E+PBWiU9UQZhMZIeIo4scZJ9dymrUgWhUj0vluQ1pR38QRoLaUpznLVTbA6UaFoXAq7SVrIvqZ9jqJXmBFhCNdZyTg1nhJO08k6FakFGcnou/0WfzdOzjeFYWhN0AxtbTmfSakvD9e0LITOjN0jaiE1oJEmH5xE23dtAq0EaHwnYZE5vjeHs6WEcaMhCnd9RoJmfNNFQZxVX+hB62GhVKw8nx7B2HlEAKMP1tEBi0X0n/30icZ65qni4fMv7QtCMNUWJN9B6M8lDuB1ROdWLUlATcKpKeB9W/A+L7n6i807H5OiEqc3+boPRO6QonCr+1EDlzkdGsyPiV7K7ZePMGlitGjhsndlm6UkB5Ly3z63AbJwznuNCFZBq78+E0u/dwjQtPiHu4Rlkve+uFr+P9gn+5LG8yf7rjx/a+RWcf6bMX65gI39vzG3i6Jcdw6WWfZZbx8uEthWhQwzWvytGWUtZybLshNx69/7ToPjqZszqTTmKQ1HsXENiTKM7MVmW7JdUumusH63QXNplmilRTabTvnxniPc6NT2Ir8A6NgfYbaOwStmdyW96vXR2Sjlo28xGdBdgTWQIQd/Sil2yrwoxS/IRd9SAyusPhElrhhJuKZ/q3PEnAe5Tx0nuVFRbPlQAsd2xfim6lMOHNxjtoG32nqMmF5mrMs06Gr8s4MXUBPi+4RixAUedFI3dZngc4gHg5dLD4udgc9RToE6VreyfGuKAz9xeRSBHro60JkPvbzvrcSBKtALsIIbwlnIWZLNMmATHgvG12lA2oVX7S4zHS5jmxFNTAKQ+Qp9CagfXfiE4ETbSlEKAAdFZGnTzv8E5Xg5LGrASkyrpDnzstT1s0SH0QpqZx0HM0sxLCZiLpkMjp0RWDzZcXGy8KlGO11dLkimTfU61Y8KDpHua0YP/ADc9HPCtoL66IHWZaousGnho2XjlGtJzltsatWuBjn1zm+YQh5wtWfVhx9qINRAYcn0Dbo9TV46irqhROOP38eu4KPfeAm++UE59VAQ8fDLJcMy4uzOR7FRl7y6vE5Oi+fU6Qtme1YNCkvvXqVfLPCmEBmHJNEEqAaZ4YC4FE4NG0w1JGSmijH1FQ4JKC2DQaPdBZb2ZLxtKKZSbCwn+YwHaNWFcn9Y9qJ5sqnapraclLnuDzgtqe052dCUEqs0JndY7yVIsFnBl07WVSPU3lNqxraDj/JcJNUCGKAzy3tmpyoqjTCbzEBm3YoHSRDlXguG/HbCK0mOEW7TOmqhHKRCfdA+1gQpEvoO4u6ttT1GSmq64wsKiNHwcQlo0mcPI4OmFSyMd/p8a4oDEFFkRLxwu/OlpGSFckQNtONz/YBrtXDKNFFnUQvuR4Qif5Bor5hsHPr7+5plDyPonNUfEwf9wY9pwEdbd58iIG2gWo7EBJP8VIhhq4rhp2Ei3uGZl1+tjZYEtUJ0jCTp2Rq6ShciuDeUYvhCs/+C47FFcXxU5pq3TC902H256x/9ZDRrTl+JkzF7FBciNGa02sj7MFCTEnzVNpeLzz+dpqgG4eqHS6De98xZXlVcPrR7YW0nQ/3CKenBOfx1y7wjT83o3x7ireB5YdLbh5tcWE8Z5bX1BGHxwY2shVGC+y4mSyZJVVUTna0zrCqU+ZVxsNHa6jMkSYdk6KmjXqWnXzBTr5gGaPlQERSlU9YMyUeRRIXkvKxlqkuyZV0FRNTkxgn0LEDVyTS7i+WEizbBZL9lSBYxuFTT72ZkRwsCUUqSVGJwSxbhjyCeLSzBNN6zCJ2HpECrasOO6+E5BQC5W4e3cVk1ncTh5mK54JWZ7N+L3/u5dCDf4IOKBNoVwltmVCvEtraStJ1p+miPFtHHYR9DGlw0TG93yv02ZVi5hJHkubfkFbi3+Sh4l+2jP+Pd3CB7sIgXqrXFXYpjsq60oP3nQsSwZ4l3cBhsMZRpK1kLgZBMQaGopJlpngsnC0OCY89bg2mlIIQtBoo0UIkEigznSsmr8mWWzdnFGmfRXZlHBVsBf/Vl/4419NHlE82Q35FeiIFod6Q7XWyULRrcmeZ3rQUD6HYD2x++YBsb0V1fVtUf/cPpEjcdHRjg9tZo7k4Y/1LD2nPz0gfLgjjHD9J0auG7sI6dtlhHh6jWkd6KjPw7q/Avd+/zd7H1rh4bR+9uQFJQvvC09z8zyQQNzlV7HzsIc9eekgIigfLGc+uP2RjXHJ57QSVO24ebrOqE8ZJjdWeylkOVwXLJuXoZMzJ8YjVMsemjulaOTAeE+1JdUcdDVl6afVBMyF/LBNiYipab1n5lFR1pKqjDWLx1sOYu9NTunGgmSjKc6ksYa0sW0f3Kk7et07zcETjDNm+YbVj8XmK3j+BztGtFfjC0s0y9LIeEs5N7dFlJ6iD1pI6ZYzsvpoONV/QXtzg8DmDn0QtSKsG0VTbWIz1JFkXg2DiMrATD4Xg1dA9+EXsBkL8/1KKQ9cYXKuHIOKuFTWmj0vGIVgmQHBqKBi+E7PYdwpVwrukMAD0aVQhxtEHy7CN7y+kYl+CV7wVtWR/GBUwOtB0BuelW+icoemspCEFBXHG8oazLiCIvdewY2jDwE/QTqAvb+KeI1VxDDnrNoLmzG4txNHACmcixGWmjyQodXPMa80Fxhsl3UQKh27EqUk8waHZ8mR7wnYr9gLFgef8L+/RbYw4fP+Mk2spVDWsTcB5pq+fsv8+ixtZkqOK9sIa9VYiJ7FS6EWDKmtcYTFlezYbGyWBMkpx6Z/e4fxPv8npL1wgTEeoNOGN70txhxmqA/dUSeMMt4/XyZKOp9f2aLxlPS85rgqyomWUNcxGFalxLLuMO6frOKdZ1Qlp1pKNWoqRcAgmeU2WdNgYrtJEgRWAD3rgLvSwpEPRekuiOwyByidoZPFY+YSJqdhOFmxmS9qp+EQIa9WjxgVhNsbundJMFRc+q3BeU59zzK8rdLRj89MceyryabtocZMM5Txm2dIVBp9ZwjgnGE1QCj/JQGvwAXdhi/mTBc0sgBOjYt0oyeTIW9IsFouIOGRRVWkyh82cCJ1yh0o8ZtqirKfPMsEEQqNl5FhZmuMMV0mR6BqBJfsi61spAMGdEfxs1p3pJew72z6+OwpDbNkhujRbhW7CIL+GWDDcmXSaTqFjawXgvCIxZ243ziucFzGKsT7e+eV7mUbGgT4wpodFu1FMtgaaqaIb9x87q7g6LhldRtw7qMFmPp2rs+eHoAsCb8r7/srP/1HKt6bDz3vyjBSIduZptzvMUuMTmN3UbL54xORORXltneTeEWs3KyYP5CRbPbNNGOXogzlX/9kJQSn0/gnzJwvyhzVqWRISgz4RBeD++3KarYJgNaFI2P3nD5ndXDK/qgmLJaFzXPmHd3n7k9u89eeew9SK8VsGlwvL7vi0QKnAzmjJSZvTesPINsI07TRGBW6sHbCdLvnsvSeZL3PKRSZtsNMkSUfTWLJEWnmAzDgK29I6w0ldUHtLpsUB2qHZtEsWXcbKZQNvoQ1m6CJMNPEY65rzyQkzWxPGHd5CuWVk15JKVJxaVYweOUYPG5zXbF8+Zu1mYPXMtiA4RhOshMJ0k0T+bzQ+s2QHNemtfXBBRrNWnK7UskJVNfW5gvl1PbBxZdz1JHk3cA2EHqEG7YPWnjTtKEY16aghK9ohtZ2gMKNOdhKdGkJpSL386RShMtJNLFLakxioZMLAeBw6hGjc0us03snx7igM8dCdePL1ZrDe9l4HEXKKi0JRNIbBfMMajzU+dgt+GCPSmNKsVIA2toZNVE2mQodOT73AgL0fQ/9cXNQ+aEEgesKSi7ZvyjM4SXcFg0dDegLJQt6uvQbZIbgiYJeK7S8p0mPN6P6ZVZtaayRq7tiiOhjfloWiPlpw/FRBfncBzlOeS4WleXmH/JH4DtJ1mAdHKBe4/aeeoNrSEomWJvhU5sxgNEFD/tYR7UaBTzR+mqPnJYv3NISyIpye4u49EK7DMyX5nmJ51fGxb/nmMNvWdcKDxZRpIrO2VZ6dYsGl7WMAuqD54t4VWQR7hc06puOKNO2w2jMbV5JErsJQHEx09B4nNbU3HLdi5GLw7LcTCtNy1I1Y+ZRV3AQfujEnbszSy/8NnmM3YmxrknE7FGUUYrRyeEwoMkZ3lnSFoUhaxmmDN5AeNeA89tEJqvPoxmHnNe0sEahSga46QpoM5q+hSEFr4T34QLljJR3NSvAPIKlhOsQI+9ipehXHADt8TIhNniTphG8TlDAViaIohYwkvTVcH1TT/4xdlHK3WorFyg7ZK0pDW9nocsbv0lBb5MJTPpAspYVXEYnoXZp7WzPl4jiVhEFj3m/J+0yJJFqJr6KsNQSFavUQdz88plG0Y30mx+6EmBJM3DHUZ4tKU0cB12Pwoo77id4nsp3In24kS8flZVjtBtpLDTsvdqx2FdXV6ATkpODpe7ncJarYtUzEEMWvTVheUuiTBWG1oplqFpcswSjMgyPSu0dUz1+iefIcd7+jYOtrDeuvt6i7j/DTMcEq8QlYHzO77SCxHDyfo1uPOVzw4Lt2uPFjHr2zhSoKzM425QXP7FcL6o3ACx95na/cuYx5DBLrF47rSUnlLJ3XpNpxbXbINw92mK9yjucjvNcUeUsIilHaRuTIUbdWsiWjPLi3czuqR785ZjAy3A7bMZ0/I+acugjDqo4qJKxicRjphjUjlm0h6ZmxgtOpjZ7A5AhGMctEn+ETMKsGrKHd3cDnlm6S4jNLetLQzlJM7cQGPrHRsUnuHGpRSqeRp1QbmnYquyjlZF+ACYOTc0/Cy/OWLG+xSTcsB5PYJfQZKEUhaeMBRFKdernwnYq4OlIktAjvzk5kJd1FUIMTtXfSUYdOFpK/KwvD46iDy9TZTB8To0wj4bM9U7G3gvONyFV7WKyLSjMXx4nNUSlGmSCU6EQ6Bh3NYHvvRlMzGMD2hi3BCiZu6ki4UsJotGUYOou+i1CddAlnLtTytp1F6/YA9boWY9ujhJP3tdLx2ICbeHQpwbQoOP/rFdufecDyqRndKBBO5rC9SX7sqDYV5htvE2ZjgjW4TPPohRHnv9iSzFuKO6ewuY4+XWJPxKvw4P0TZi8+RB2eUG+KdqC9uMHmqzX2NPoaTsZ88z++yvor8rr9gT/4FV66e4ndjTnn1haEIFbl1jiWXcrSpezkC3zQAkO2GfPXNih+YYp6u8AfZSxOc04XQofuYeXLayeEoFjLKraLBbWzlF0ipi1txmkMnVm4jDaIrVsbdAyjsSTKcdSOOXEjEuVYNyvmvmDlU3LdkqctPgkki4CpHpMZa4Va1bhM8XAxlcd7ElZXpvhUim1QCntcoRtHO5O7h141YvrqPGpV48f50ImhFPWVDcpzQXYBKtoHjjwq9Y9ZtWnqOqGuk4gw9EzF6DrW2kjOU0OuhEI6jGTUYFKPjnGMOpWdBAgUOhCZTIDItlQrsZELK4tfShxgKOO/38HxrsiV8FayE7tCRY0Eggf7nlqsML8FZlStQo39b6q4KsKWJmrT51V2plNXYaBXgwiLCKK/6HcAPrIbBSERmbXLZTOoukByKoXLRTp0vz9QHqKbd0QmZLfwQ9/1aX7q5odobk/Z+n/vsPlzK1Se89YPX2P1dI05TFClYnRP41PY+UogvXtCc3mDxa7h8i82kGV0W2MefSRuTa2lvjDFrqQYXPrpffmBImxGiKInIBQZ44dygfhzG4zvBlTrOXy+YPPlFXpewtGcm//JU5jrC9y9KfOPVvzK7RukaceySdmdzjlYjM4s+iM7sXQJG9mKh+WUxV+9zNVVR7llyfc1+p6hWS9oJ4HTSYbZqNlYW3JcFWwXUlAab0m1BAXN6xylApOk5rAZsZkyQJMgGoB5J3uIma046QompuJBt8YidhEvnlzm+HDCaK6Y3KmE0QhC73bSMZVbmqa1ZNOObhQo7i8JiaadJhT3FrhZhur8EC3QH6qN9Oe6JXgjr29V4wo93FBUpN1DIM3luXsv5im9S9MAZbozQVS/gwjhLGOiA3ykSPtOSVp1n005bvGVlexWOFNWthoVVAwa0kIA9HKOSxDRO7sm3zUdg1i3RxbXRA0U5GDEtl152Q0M0OJjEEy/me1zAVpnyOJY0bZWFpK930PTdwKeZqoHybc30pEkCwnWdZkoLPvFJJwxH5U7U1QSi0FPqe4Pb+HXD5+g+Kcznv3bx4TVCs5vE4qM8rmKp64+4i9/74+RzDWTex7lYe3rx/hZwcF7c44+4MhfuUu4uE21k9EVAoOposCuWhFMPZzjpyOaKxu4qWQc+LUROIe6u8fq+jqnly1+lOMzy/aXj1ldlAtJf1kMT1cfu8b0Iwekn58yf9rxHc++RpG2bE+W7E7nzJKKcpkRgCfWjki0w+CH7Mg3f/kah89a7n9bytFzWrwyNExuBza/Bltf0iRfG7H/5ib39tfZLyekpiM3IgaqnWWcNBysZGzogqb2ltKndN7QeMvdcn34PXsUI9Nw0o046UbcXO3wuYPrfPnNq+SvZ+SHgkgEq+Wq6WLnkModoXptjVlSSRS9C5jDBem8lRQtwI0TCSledIM4yk9yQpZA5yAE9PEpYZxTbllCj5AZQbmYtkOuZK918L1HSG+WEkcoF+Pm+lFtucjFcEh7glN0tcEkAnnpxIsTmZflpDKBpGjjTkEk5SEyK+UHUVFRHCnV7TuDLN8VHUOPCAADHdnbqFMozzoFkSjHhWAqM5wxflhidZHxmNtO5l/raJ2jqW28gIVenZ+I7NqWnmpTD6zGYM+KD+ExZ2oDwaqBidm/2Kgz/wWXnyEm3dSjWsUrb16Eb3FM7k0o6g4V4bGwsrz+9nn+57/9Q4ymgfGdimZaEIyh2ikYPXLs/pV94eM3Hcc3LNf/0ZK3vncEIWDvHnLyLZewS8/41T3M4ZyTFy4yLVva9Zz8wRFhbcL4pXsUd9e49W9vgoJrP/o2q3MbbH69xpzbAaM5/JEF/jPb+BF8x8e+zmffvM4zu49YT0t28xN+8e7TEGA8Ess1ae8NP/35j5AeGOoLHXrSokzALRP8szVtmWD3UqZviopx9naH8gGXWQ6f3eXex9fZ3jgdlsUAs7yi7BImSY3+/6h781jbsrvO77PW2tOZz53fWPWGeuWqsrGrjF0YDDbGuNthMhEE0iFRJOh0OiFKR91SJkWRIkWJSNLdirqVdLqFUJMmaRDdBpow2czYYFPGpuzCrnINr9787rvTGfe41sofv7X3faYRdkkkKrb0dM899757z91n77V+v+/vOyjhpmjlyW3MdrLCoTiohoyigoNyyGvzTe7d2WD0QsLkuuXqfsnqgqNJFasLPZJZTK+ooS+eC1Q14+s1q/OxjEcjMbqNAbMoaCY9VudT0hNL9qAiWpSoVSFAY16hFzl2cyhg7t4UHxvyHYUdN+iVER/OoagaWyqzC2WkdxqcpnayuOnIUhVxV4U1tVi6xUlDUwubESUjTfeQmWuXTamCsrgxwm6MHU3sBH9otEQaWqm+VS0q4L+UWgnlxAxF/BilYlBOAMCW39DqGKK1aOl1oXGlocgTucCU7z4WwSEIINIuiE8ALWSj1v3Z1J7sOAhe+m2FIlMGmwoY2qY/AXgli0YHQobqwZRSrrkI6p1Gos5joWGbhSG7u6TeGeLTGLXKRTHZCNeh2FQUuymDu5biXJ+jp2LWe0YmC6OMux/YITv0RPtz6q0GrMUPe5jSE+UWn8a4yYD1rub+N05Jb83wRSEjy6IA7+nte9bXSnxZMbxtST/7Kn695u6Hz7M4GOAi6H3DAZ98/TKTUU5tDWezGSd1n5MT4T7004rNZM3QlPziC19HfCKyYl3K+2DziOxmTC+rGUwKmrHl5G2OpqeZXU5YnRUW5ui2ZfLbGQ++tC2ZCaHXLpsIh7g3xcpRuVNlpeAMCYflgOurLX7/pStUP7fLuV8xmAKOnjDceV+fe9/imT0G80c1xWaE3RzgYyPgY1GhvJDIiiZGZ5bluUQCYYxheSFlcLsknlWCOUQa1Vh8FoPW1GencqM5j7LiRdH0kNDhkEfCqO6s1oCw+z9k/e5EASy27yFb0nhhLjr9FYxFpT22kFG7a3THmtSxwwUSk4ls97nKrFQtYYrhW2f06JQg+EaON0XFALIjgzgsxUt/mv8QXJai3Muus6OF4JT4jl7aJvgo5TsWJMAoLVmVSUjqAV2JOMlFkB3W5DtSNjaZ6rwZTOkl0AY6ToPXAjCigUamFS7Yykfr4MmQQ/FoLUAR4DJHdBjxjvd+mS+sH2f7G+5x79fPsvWFWrgTjeL4CcXkZc/gxgo9z5m9Y1tGnwbWj4yxPc3qEc9j//OLqCShdyPGb05Qq5xqqBm8ukKdLPB7m5hSTFfUKod+X0ro6Rh9OGfvV+dsf27K3R+4xrl/+arY213Y4+Q9FcMXUup3L/iWc6/yB/cvoZTnkeExfVNxO58Spw2DXsnVySHn0hN+8hc/wOYrsD6rJG15qfBHCbbvmbzqOBhNsZOG/uuRKA0VzK9A/55meSERE54E4oVivsqoq0jQ+mAwspMtOal7DKKSoSlZ2pRF8Iw8yvvcfTBh8GKKTeH4cYNLIAswi7phSI89g/0GkzuafkzcOCFuLda4WJEee8ZJjqsCe9E6lBXatFlXQqe2HlU0uGGIPrOW6MFCZOmznPKRTfKtiHoYNo7Qy5t2ShYyJdvH7a6PAluZzjJAGd+lpD0ccd9yDnRiacoIHWzhTWRpqqhzkG4t4dCi2gQgCtOQ3Ej7YMDzp6YYX8PxplgY2hJchWAXr0JwrAordNMyIumcpFutdpyIe5PRdAuCVp7aaWwdy0w9bmR+n8jN39/3uFQTlZ4qViQLj83CeDKwEHXdtgZhdOo8Jj+VfbetzfqMpxl43LSBQuOCYCYeVtTa88K9s5TnRShUPLOGF2Iu//wKc7gE73nwvjO42DB/5w5HT2rSYzj38SMefOMG/QcSLQ/gG0tv31OeGZJ9aSFVVV5CFKEPZmw/57j3zZs0F7Ywr92D0QBmS/xkCGmCuX3A2f/rDsUzV0ifv86Lf2NM9rLBvWfGUzv7/O6dK2Rxw9XJAY/194U70CRc2Tnk4uCYR7MjfvW/fj+7maPuac59omBxIWXyao5e1+hKxi+bfwQoUXz6Xio5DOmA5aMyFdJjOvpufb+PmlYy468jVspz14x5dvt1TuoetTcY5ZkmOfvFkDv3p/g8Ip7DxssV6X7wQgg+Cj7S2F6MizXaOvLthPTzN1BG48NNHuWeedUjyhpW5xLGryXER2vKqWakpXox60p4CkYLsSlL5XOQsWXjWDyiabYr9DLCG2lR28Gq0k7aCOh8QtoWo/VMUMrTFNFXWK61uETLknSNfL+rDTqxnWrSxKLCbCsMAF+abpzpffiYBf6DCozfN3C8aVqJlkjUApAgO7a2UkU0LZeBsEjUwgN3gQLtvOrKUhPGY9ZpIT41Br82qEbUisXUCLW1xQ1CzL03gmu4KHhBhCpGN8FINgrEJysj1OUlh71S8JZnbmCOozAyEhTShgSsMo+JDmOWHz2Dv90LgNcKDo4BWJ1VLB/tkW9pmmtr4pWn2h2wOqsoJkbo1P0+KkupB4p6ZPCDHvVAia25c9A06OMlZz9+n1e+v8/JB65IdFoUyui8xNc1/tGzpM99mdf+k7fAsMaU8P2PfY6b8w22+2smacFmsuagHnIr3wCkFduKV/zaf/U+lPVkhzXD2xXx4Zqt5w6IjteC1iuFKiqRMUea4vI26nhOdH/GzmfmNANPM206n8xmEMZ764i6jDpm4CgpWTQZW/GKM8mcabRmXmfsr0f0Xsx44h8tOfvbh2S35qiwGFE30MjFES1K4nlJkxnGXzpB9TPo94QanmqyI8v99ZAkrTEFlJsxXimyYyE02X7UhchgHdQNzTQTsVVtoShRzlOPpZ/vrtXEkaR1N5K0VndVg44cTSlAY9cCGLFcA8HJnA3AdustEshMKsTaeXsaOdeUUTuAEvFUpeXa86CKdoGgm0ioRqGqN1YxvGkWBlN4TOGJctm5dQ3xQm7YeCmpSiA7eTwPf2SQpbYBtm3F0P1c5anqSE5ydApixmuHKSxR7oLISezj4pVgGG2FILRsHyYWxi0nPQAAIABJREFU0OZaqOA09Y53vsIHr32JK8NDmUy0q3Md3HMqDfOY7EBx5jf2OfMpR3qQoxYr1HTMvQ+dwVQQLx1ew7X/qaIaKfLdmDOfqphfUaHtaCCOyI48o+f3OX7XjhDBkqgT9VDLApA90By8Q3Hje3ZkdFmUMqXo9VC3H0ASEz99zOTTGcunSn751lNCYW5i+lFFrCy1Nwyikq10xaXBIb/1Y99EPG8wlSM+XJNdP8QbI2h9bFDrQrwi44ji8iav/OCU+aVEXltjMccrrv50Tu9mTNMPIBkEJF91NnwA/ahiFIn+IdYNkyjnoBhw9JtneeSXTmiGiRirJBHrRyesr23hpgP0ugClsP0YrxXZ/bUsUnEE6xzfzzC5k4TyMEJsDYGajZ64WgHxvBIlpfdSMRhDcvMw/FwNacLykZ4oKQP/xsUeMktVxoG1KDdpXUXYSoxS9EMpUU1tOvEUiAJSPRRKaxstNOZGiV9pOF8mkRFkS+xzQbZNpYXZ65TkpxQGVemHIhOU8B7ewPGmWBi8Oi3ZXUh4apWVAFHhqAcaU/lOgeljH6ZRultltRI3nMoaIu06wpMwRk57OOURVWIYidZ9jY0VTda2Mw8Pseni7iUpW54+fsozC0DZL3/iGfnWWlZ9HTvcYYqZRehCMb5uceMek9+7Lq990OPFHz2LixUXfvmIg7dHbH+hgJeus/vZgvklzcljCfXYcfb3LX40wGvF5OUcrxUbnztieLvhzvvHwm7cGkOW4oc9Lv4/R1z6V2se+eh9jt9/maO/elXUgLmAkdf/w7fgP7FBvuf5oWc+jXWKa3sPOkHTbjInt3EH3j7/3z6NM7KzJgdriWXLEtaPDDAPZth+AmWFKkoO3rPDrQ/E/Mh3f5z3/einePV/GLJ+6gx2a0Sxl7L5JxZdauKFJlopVCkXrq8kzLW2htfnG4xMwaPJAXvRjF+7/yQnP36Ri79ygj5Zkrx+gBtmvP7faKLccvvfrbnzvhFu3Mfsn0gFUwWz1V4SckSEglgPNclhzmKdMcpKkoWnGmlcIu+/mLkaITTVDT42uGGKmwyITsSLwY0GnDymsUMB+7wBnzmi1IYWQnVThSi2oueJhd7srcJXRkaRVbjQvfgouMJQ5xIfqDRSTRiPrXRn8OJCMK4tAhFKe4m/s0oWAZCPFlQwotXVadbpGzneFAtDe7R9UGt2IhbsAWBcOnQdgmkjUJVCBb/9dlEAqKzpEqmSqKGXVqKpCOBLi1FINJ20Kk1PqMwgaVJRIe2Csg/F0QUzWmU9USlGKpFyrGzC5mNH+NjhM5l+2MIQrTRuVxyMp5+5jzlagjEUu32u/7WzXPlowbmPH7B8fMLOH9fExwXqwlnWewnriwKG+cTTv7Hqzk9y81BEQXlJ786KxdvKkLZcQlmB8xIQc7hCrXImX5qx+dljKCuW3/wY7q2Xqd66Jj3xfOd3forfP7jMdn9NpBznhjPeu/kKBs80zplEOX/wC29ntRcRFZ7Ba3OhAccRbpAyf1TCbg/f3pfKoKxYnVdc+M2avq7Yild892Nf4PoPQrGdcetD4XyHyZOuwnvi6SqHNLJcHJ1wNj6h8DFGefZ/9QK9Q4tal5SXt/HDnqhJf3eMixRb0yXLRy35uQE+iSnOj4Wy7D2qqHHjPmQpqrGUUw0OsqTGOnEJz3c0ugk3rlaYIjhlRwZV1KjSyshyleP7KfV2X9Sx4Wb0sYfYnYa8BD6DUjKGdI3GNbKzK+PRWdPd6C342FSSbakTcXtytQ4GroI5uEafqixzgzJOwFOnRDWcOHzshMjUtPwF0Lm0EW262Rs53hwLQ7srh9xI4CsCaKqRPk2UVqcAbuvH0FYGLkwkNjIpK2ItRrE6cl0p1eZSmsJ3WIGoOFUAHWWBqvuKeqg63n07hVAepi/MGNytee3TF/ny//IUs2XGk0/eOi2RA9el96WMqz9TyU2bF/jJkLvvjdj8E0t8+4hmoy+qzOOKxdURbpSRLCxYiFeeZGeN60ncunIe38+oH9mRHtg5zGHM+vJUdsUsRZWV2IzZ0NsezmVqUZYMv3TEnW8Zkv1xn8NnG+6XY/YXQ758c4+jos92usJ6ze1yivOKn/z995IdeIpt0ZPMnpriEsEsiu2McgPufcsmW1/IOX52j4MPXWH7+YbrHzFsRksuJIfsJnPe/fhr1EPN8BXD+owE6LSO3KZQ6Eqj1hFRfEphNsphcNyvJ/T2PcfXYpqtIQ/ekbF4cpPFxZTRLcviYiKmqrHHZkJo6r1wW0aTtYXIoI8X0lLFUQhKbhikFWcGC9K5wxkotpIOv9InK8Es4odwee9xIxnb1sNINrC2NHd0zDZnjWDixhPFsgDo2ElLqRBMrL2hoRMBoh5iMD4cPqtO/RpUoEar1AnQ6IHCQKVRpUHlgqHpJjAdnWSn2IHDDh128hefRPX//RHYhW110KoXo8LTZKernakcUSkqNm/k/1WVYdhvRIgWxpV5I6VwK9JRIOww22ZRKrQVynM11GIAs/Y0fRWcoGXFbceS5SaYHM58YibMt/mazHrOfX3B6zvb/MhTnwbgpx77WX56cY2P/vAHMYdHspvn0uO7vU1uf/sGj/7SimInpby8ja4c/XslLjUoDwfPjKW0XAuW0jSGcishvnNMfXZDRD8K1HINSnHx45ZoKSEpIrOW9GU36WPqBn88Q21t4LfG3PrwJtXYM30J3vm9L/KJl69y6ewhWzv3udg7ZhiVHDeC3P/qT30j/QRW56HasBRbctMtz43Y/azQh3W9QbEFtz7Q59wnCvKdhJsf0vyn3/orHDVDUl1zs9jkhftnKN6rGL0Kq3OeZKaoR/IettR2HwtTcJBUbKcrdqI5h82QTx5fER/FqefVb1Sc++mmE73tv0vzrvd9iS8f70hoLL7Lw8A6vA45lI0VunhgPtpRivUNWVSz3tH09z3lWJMsnZCXBpnYySeRBND0YvSJOEH5JGZ+KcJuVaiVkc1mGHwVwjUGSKmfEbAFqYYEGzjNkxDpvbSy2nhxug7gpPS6YuSCR9ST2uPX0anSEqTKWIs1PipwSiK53l3m8IkjGkk2xahXcuMN3JJvjoXB0Rmn6ia0C1p1ngk60GxtIkYZnSOzR4I6tO+YcnEAIK1XGBUco6GjirbW9OXYdNVHlPsuN8IldNJuXQunYueP1kQPFpDEHLxrk3qwwfwxx3tHf8KNeJNfv/8Wfu7Jf85z5Yj//Z98hK1hSTXZpPfcq/iNCYwG3PiODbSFg7f32f3UHDNbYTeHHDwzCk5SnsFdy8nViGQG1Qj6/ZL1To/03Aa6bND7x6iN4As3X5IeDtDLgvLcWIhNgeWnbBBfpSnu/gO02yJ/OmP0yT4HTzuOXruCiS3WaTaSNeOoYN5kLG3Kx/7g7fRS8ZJQDURLTb1bg1OsEsM+GdlRSjKD5UVPM7W8+n0xjCre89hr7FdjhqZkYlZcX22xPuhjdguqQ1l0qoknXknYTtML42EHLigu95I5U73mRA147WST/j1P7wCO04xbH/Qkx5rqUsE3XXsVgFWRkJxobCxCp2ZnRHS8lnRqUgFmjZasjaVcV6tSgnGbvmJwr+nySnRtUWUtKVxFhetntPC/G/REM2GAUngxJtfYXuArhPGkUqCMw5ZB0Fep0xGi1Qyna9brFFsKa9FbhfMyufiKqPrIiaoSILMCMHpO9Q+5wccO17folZGKJyiQ3W5JlDakqUjeB2nFMCnf0C35plgYWnFTq5sRiXUgOT2crKWQyDWkd2pNWcpGdPYgHIbY2IcUl1rSh3SEzYRq3WoeBNxU1CN1KtgKi060guKDCy7/nRlojRv0qPYGPHhvQzwu6SWW26sp3/O25zmbzHjmX/5nPPEPHnCuL2PI2x/c4NzReWbXBtx/j8dHDRvPG1kU9o/xVc382TNsfX7FwTsGJAvPydUI5WF9uaZ/L+LsaMH1y1M2XlTkZwcMbj2AB8eQpdBLpVzWAqjRyoytQ83XwoCtK1S/x8mz5+h91lCN4Lvf/xwfu/4WtoZrtntLLmbHWK+xaH7tC29l5480J4+HhKwNR7SQMpjI40YNy6uGZmDEIbuC7JWI1UVLlFg+/fqjvDzZZpIVLMqUK5ND3v3WV/nM9Ucozli88sQzg029UIgHvhuneauwXjFvss4IFuD4KZkAxTONe8uSetMQGcfn7p2nLGLcvYzpXc/kxTn13hiXaEwSsiTrBrSwGH0aS9tYWeo6wnpFPZRrrRppdv7gkHpnQFTW+DiS82cUWI/dHKIry+LxLcpNORfeecAII1HJddR6N7a7UJcy3ShIZFdfHPfZ25uxfzAW0Nx4TGRPWY/teNKpQKhTskBY1Y0gdaGF4Nco9MrgwuNmu0ZnlsGgJIkaNvt5J43PzF/CVkJBiBNDFIyJIjvyHcc7KsSjIZo3OBPJqpi505UYAR1bnUQdHmvlSeOm8xFo/RxNCJJpslM1pQ/VgikCLXoIZRGDUqwf3+H17zGYjZLE1FSHGbbQvJYMmbw95/f/13fz6H7D8qltBq/NscOU6SsNr3z/kMu/kLPxuTU3v2Ob0a0Gff0OfmeT+soe1UAWqWJTcI/eoWNxUUZVi0uK4/vbnPljxyvfl3H2kx6lNfRTvAlGISsPWqPzUlqIYQ+zzKVaiCOwlurrHuXud9VsfEJz9t+5zu/cvtrpS0axRL+tbcLPf/Zpxp9PWF4A23c0sfAM6q1W+BPerGFNfkEQczOL8Ar6dwy56+FSx+rzfQ73HKNXNX/4niFRbBmPcuYezF1hMLoImm0X2KQ+OAwpamu4X47JVM215B6PTo55+ZphtcjEsuxOn/4d2a3juSdRML7REC8bDp+eBF9OiGclLjbExwvBFkYZxV4vJKobmlomMPnFmuplE9KiUsmlBHwWo9al5HTmNd5q6q0+s0uGeuRQayPeHgNHL6ulWmiJaG00XCApqUBNxofxY+TYfzCWzxV4K8Bkm0rtai1S3daYBTqbgXbq5SOPWWlsz0m4zbQiGVT00gqtRHeSmgatPKO4oXJCN38jx5sDfAyHCq5Jug5yZis3sUitPTY1xHnIe6ikJ2tzANuKobWOl5NSCiAZXHS60JoAJJrqoVI2yKeb3ulr4SDl/ref5843x/jEYb7cpy4iyBzJTPPoLzru/8Or4gZ0VDC4vkAvcqJZwfCFB0RXlnz5hxKO37HJ6pKl2DAcfcdbcIOM5NYRycrjjWZwx1NNFNMXVzQDz+iliPJ8hbrZY/9dmvRQM/71l/DjIT4TezE37otDURwIOVqsyXwvRY1HuNkc4oTXPpIQ30wptqXVKqqYNBJbtbPpjNvllH/x0tNc+CWhFzd9f7oIdL2z0HNV5PGFeFKafnC83raU0zAGtor8vMX1LbNnSkHca8PJ0UAeTxu5sONTTknnYdFo6sYwjfPuejjXmwuBLbb4Omgqtj3rs47FZcj3FAdvi6kHEU3GKcNPKXTRCOhrDGaWC67UgK4l/fnWagoK8h0t5CYjeaTUDSqvUMu1eDUEy7diM6aaBip+wEZIJXy2LqOOzARys7fjSRVGku3EwQeikwqxBjKuNdhV3E0iuvMfi/+jeti1KVCoXSA0xedXDMYFe5MF2/01m701vahmGK595zWNk/zQN3K8KSoGaElO8lFb3zkqKScfdeklV2HS6zCH1ksvSxqKJiJ+yBwzUq4DIZvGoNrsSisJ2rrxFFPJlogKwSgsEJd08XLD1zXqew/QecreIOdwMKT3+T7j1x3JXFh3611N/77FzHLUbIHfnEBjqS5s8MjfbXj5BzT33u8wC8PJ47D7WY/rRZiZYvLFGfPHx0xfWnP09h633z9i+48tLlI0vYQoh8VbK4avx6zeew2bKcaf2+8WAaxDlZUAZt7LBR3EU6rX45W/9RgusyS3I/7Kv/0HfHL/MhvDNeeHMx4bPGA7XvKxf/Bedk8c+Zb4TeoG6p6DMH/XqSQkOavIhiVqJPHsTRXhB1KCNVse3WvwlSEbScBMGjfUVku7N4TaGlaLEc0wLNKxJ1o8dLHWIR8ExZ1mgx0z51x6wmNbB9xZjmn6JcfRUFSGlUaVCpt4dKk4fGvcjaAH9yzNIBajml4m+Q+9mMGdktX5TO4r7VnXMXppiHLP6OUlynupEoayM/jRABWAZhqLTbawGWKCYiQMSGlPXYogyobRpEkc2lhsWMikJQiLrfKdAtJ5WRzQvguD8bWGWsuCUClU0Pt7I36SugpEJadgp2Q6WbMzWNGLahLTUNmISFuRq9uILJBuoofui6/1eNNUDMqKF4I3kCw8cWCptTkOphRPPhPGlm3FUNemy65sJxGRdlTOhIh1jQ1qtNaWvrV5l58b6M9tSxHUlG3g7PoT22RJzcEXt0k+30c5GN4u6d1b8+DphHjpyY4a1HKN3xhz9M5Nmu0hh09l3PgrQ3SjuPRRx8Vfb4hy8YGIX7sPeUEzzqgHGl1bHvtnC5aP19z7RsWDr4e9z9TUY7j8f3uO39nQ/+0vMn7hCEBm7LMlbjo6tRsraslVnAxFP7E5xV4umLwQoSz87r2rbGQ5j46O2U2XXMoOeHG9x+S1kvW2Zr2rTh2tQ1+rlAh3TGQZjnN6aUU/rRkNCgajgmRcEg8rknFJf1CyuTOnl1bsjRYkxjLOyg7rWc16+MiJ4i8VWbpgOtKyYBVVY7ix2mCq1xg8pY/oRxWbvTV5mZAOKsmBzCxNz+NS0ak0A0n2qsZQTjTNwAg+0AKxkQbnidaSBu5zw7JIcT1HuaFw/Rg9W9FsD2VUeSA+ltG9E9AaPxmyOiuIP1r6eR+L3FlHDu+EpBSlFldrmqBbaEeQLV/Bl7JBEQnfxYeYRW/VafBs1M5NEVcoLQxLHdou5cFvVUwma7YGayZpzjjJiZRDq4c2Rm0pbExh35hzU3u8ORYGH2TVjagoW/dmMWVREgdXNBIVZn3ngYAS37xIO6IwjUgjMRBpn4tDGGg7AgXhKDSpTAJ0LTRovCwEbR6l17C6aKkmnvqTm6QHUh5uf6Hm3rM9Xvr3hqLUu14SrWoZccWGcqopthMWVxzRGrIHiuS4ZP+ZmP49z+BztyFNcDtTTNGw3lMcvW2EyyL6r8WoM4VoOlYNuoQbH47Z+b0IvbUBzuNG/e5i1cs1vp8Jkm60MPXSGKZjFs+cRb+eoSwsnhQD1O1sSc/UTOM1d6spr//HV8m34y5I2KWByRd5MOIeVK0TkqSR1OXIUgaG4kY/Z2eyZDQo2JsuiI2lFzfsDFbcX4yorCGvY/pJzSpP5aIuA6ffhBZOe1EmttRgp0l0w71mQl/X7MZz5kFZOeoXIjJqNQaR7wx0bOJp+sKKtZkiWrc5hAaVV7hEg5bn9aJAVVpk5OdP5NorpfqLjtddFqXPwg1V1UFnIVWOybVsHP3gjFVrITWp00Dath14+LHSHpWEnIFaRpGqZ+V7Ki0go1MypqzC130gKK0Fc1CN8BKm0xXnxnNGccEgElwk0pKvsaxTKme6BSHRD6P3X/vxpmgllGtHkoqo9KFPlMUhLhymEkVbWw21Hgg2eOp1dOhgAtt40U7kjZycujbCOmukMoly0Ua0wTHeCK5hCkKfHdKnexbrIXnqhGEqdul33jGhLiyTP8wY7DfCpZim1ONdAFbnPclM6K7pzLO8oLjzrSPSE8/O7+0D4Fc5qic2Ylsv9HjwTISL+ngD09/skcw9R//5ipFZYJ/bYX1GcffD5+kfOHoPKszdA9zuRshMtLQRdXpVoNYF5bU97v1gyeB3B1RT+Mg7P8uizlg0KRcGD7iRb3Dww3u4qcHFSkJuQ7XkUoeqxAPRO0M8LoP9mCSJtwtwSzsfhVFYL6rJm5h5lZIlNZO0wHvFsk5CTHvI0IBuYVC1wvYdptDoStM0mlWdYsN+NdI5/aji3mqM0eKT6EM4i3Lgeo5aS+yfrgI+pKCcxqjGoyYDfBqT3Zrj+omY7VQ1yUxGlrGRhV+vKyGRLSQtXA37ootoLH4ylMpuEjwOArHJxK7Ll3ROoQgGrPEpG9cGxqOJhdpMACM7wDU8R+ROwcaWp9CoQJ4Spq/XDiY140nOI5MTxklOqi2N16TaMqszGifvScv8BaSKQHVtxdd6vCkWBpDz0wwDFdkJiBTlPrgmeVwqoSkuUqLO60v5KTiDgCtdwlEYV9rwD6Rcs6nsKObQBQAnRNAH96imB8We5ZEn7nO07uG9ouiLEcyyTBj8xJQrry1YX8wox45sX8hJunY0PUM90MRz6QPjhaYeQLVpsT3Nmd8PQqPxAB4cSRCtMQxePaGcbNJ/0DB/LOZoz6Erxd5PbjB+ac5mdcBLf32L/Cy4VwymjInHQ3BgtyfoIDtWqwDaxRH7z2TUC2lFomeP+cTdK1yeHnImm5Pqhgf/0QX0co47M6J5KEQHwKxFnu5jBZnFO02ZG5Ks6WLsa6eJtWMzW3NnOWa7t6S2ht3+gv31COsV61puPBDNQFGksmMivbTXHpdJxeCDMW5VxBwXPWIlJrBZmF9X1lA1hl6/pChiaheLv0Yh5bfLPKoQgM6USMUQMJdmnOHiHrp2RDOZ3qRH4hF6PO/jNpyoTyMJrlWNYDeAvFeNZXUho55aMeOJPb7nvuLGUYpTXoJTuEomJyjBIWweWoiQG0GtxQFag5QsyFRDgap1EGcFNmXqMEtNs9nQG1Scn8yIQhXgvKJ2BqseWgiQRVfjiYxUEdr7N1w5fNVWQimVKaU+rZT6Y6XUC0qp/y48f1kp9Sml1JeVUj+tlErC82n4/OXw9Utf9VV4iHPfJU4nc9kFpT8UeTTIqKkTWFWqIy0pJVkFTchCzGtxHu7HlYTdRgKi6dbvQUugTboQzMJFkO9Afl7Kw7t/eJb1KxPWr49x9zL0xzaY/G9jBrfW7H/DRNKj79fUo7AzOUmwWjyi2fyS5fhJSE5g/mRNtF1w5WeXkiq9OcQbA7tb+H4mactVzebnjjl+LOHqP59x9Wcq+rc1k4+/hJ6JTkKXCpc46iH07q6lRjUKc7IU5eS6wE2HUFY0O2MWX1fSfy3GK3jXmZucH80CrnDInXKCevUWPkuwicZmYSFOpZ1SXi5KFdKZnRWFXyuLXlUxsXb0oprCRuwOlqybhEFcsr8e0Y8rhnFFP65Y1zF5Je7IJrWd7Fgs0On6Z69BF1IJNFZ3iVSZkhyK1umpdTlSrUNR5E9xIyNVXktb97EOUxtNdJJjM5kwoLVI7+sIu47QG6W0Y231VTf4YU/k6os1WEs51t2Nqqzs8CpUTm1QjI7kpjeRQ8Wu81nwwU7ee5m8+FqjBo0sDg6pEh6qHHwU/q62uFoZbOaY7izZmyzkelAe5zW5jbvJQ6ItyUNcBa0cibYMooqNJGcvnX/V2/Dh42vBGErg27z37wCeBj6slHoP8GPA3/feXwOOgR8J3/8jwLH3/jHg74fv+6qHKT2De1Z4/0C8lByALk4eUI0jmT30xye2M8JoLeNra4iNpbQR1mu0EgWmK4RL7hI6PUY5Nh3rLV5KXuTgpiFaCTAWLRUbX1RMXqs5fjzm6KkhzrRp2Ib0sKAeRswfTbn7noizn1iBgma7Zv6Whmv/tOLK33Pc/NAIN+5hDhciD7auU/A1O2PUKufsr++zuDrCFA39fYeajPCzBaqo6N1XkDqiHGbXhoGj4INpiBWm3uEcjOGlH+5hjmK8gQ9+3x/y5dkO10b7OBQvLM9x8zuHqM0pfpAFV2slaHug5ypHp/nwhelcsrxT5GXSkcoqJxVabQ3DkFmplWdWZlTOsKxSrNPU1pAkDd6Dji06sZ3LlXD7lYT7eoXJLFUTcWiHaOWYmjXrJum8NZxTJGkQIT2Uk9AqB+OleIRGyxpdOfygR3wsfo4n1zJpR9cF2ZG81vggZmO8ZvbWDfzxDJKY+TdcxGWJLBBpjB9kVNMgZ27kHKWDqjNUqYsoBLsYTGI7HwXfhsMEIRSl6doFX+tOOEbs0MNQ5jehWqhlWtZOIdRGxSgrmSQFm+ka5xWFjSTbw2sKG1E5Q6Qc/ahC49lIclLTMIlzpvG6y+r4Wo+vujB4OZbh0zj888C3AT8bnv+nwPeGxx8JnxO+/kGlHqp1/oyj9T/wRgDIpicvK8qteCJYL3TVcCG3ydiuMtJKeAkv8dD1V7XToZ1QssvEshq3OIMN4KNXQaPhocno8jN1pYgXYuyyuBDR33ccvxU2Xiq5902K1RlDM0yYPxoxvwKP/GoOXoDNuF+z+TnD7GqfepSw87wkVQO4YYad9HAhC9GsJdvBZzGjVxaoqiE7CriB0djtsViUl5r5U9JKcXiCun8IZYVfLPFVhV+v8XUNkaN3T9Knhqbk0viQk7rPo9khd/7mIzAdye8zinoo3IWWOwIylfBKdnBVa2xpsKVIglt5+0medW1abCwP8iHrJqFoIhpr6EU11itWRSJy6koSkVwj3gRuHku+Zyw7vs2EBGRXEaNewUCX1N502RJlHWFCNHxVRrQuWz7y2L4L+aLBG9TKtRQdrUCpLpz24aCheO1IIovNPGVjyLcUaIXdHNK7V6DLulNU5ueHgkPkQZMQ+c6EuCqjjswkDkuCgaiobRnkd/tGOA+EaqMFH+VClU1LLo6WsyDnJVorXOYYjgqmWc5GWBQexhCADvdxyGTuXH9Gz9SMooK+rrpYvzdyfE1TCaWUUUp9DtgHPga8Apx479tl6BZwPjw+D9wECF+fAVt/xs/8G0qp55RSz9XlEpuKJl63pCNPwBYk08FmkWQGWn/q8qQDo4zTsBmQqsF51ZE6hFAioKaLhLdQ93Xn/aAb8WyMl/LRBNl1b1/4FEfvbtj/7pLJizC/lBAthUK9/86Mk6ccu39kMaVF15bBnZp6HbPeU5w8DslRjq4cbtyn2Z2AA7MsMQ9OpGStT8FD24tRq4L+lw9pHYRsFmEzGLwekexHPHiPY/V6qUTOAAAgAElEQVTsJdRoAL1MWi6tUXHMybdeIb2ddL6RX5ifYxp2jH/y/Dej7x+hlmtUUQl5R7WtFbjEh1zOMBIzdGNEpT1R1pCvUmaLPtZqVpUAjctKvO5WdcIgkRW7tBFFSAFTysv4LjdyQwRbc688Zi2zeV1Jq4SCo/mAF9bnsWgGqmIrXaFD7GBZhGSxVq6N6BV88EUwlYy6XaRReYnri+uSWZSSar4WvUA8b+jFNW7YUOQJi0ug4hhz+wBvNM1GH5TC7W6w3o1oeoFp28gO/h1XXji1h29j7RWngikfFoM2T1LRTRo6NmPQPohUOrQVxksma/BSaAaeaFox6RVESqrgFlgHuo+N00TK0TM1g6gk0Q09UzE0JbFu09n+gjEGAO+99d4/DVwAngWe/LO+LXz8s6qDf41d4b3/x977d3nv35XEA0zlQtSb5Ds0fY1NdRhbCsfdJUZMNVIlm0agncbGkkYNVROxKFIapzsadFmLmabLo+6C18FTQTcwvyw+AcpJknbTk92l2qtZf9ecux9qePTn4JGfkFN19HWezS/Kn5MsPI//xJLsQcXqQp/9d4/EcPR2THG+pp46yt0+2e0l9VafepqG3jqMG2cr4SP0YvT9I6qNpAuOsTsTOLfbvUPlpmfvOUt2zxD9rXuSRDUdouJYTFq2ptz9UMPwhtwkH/meT/Lk+B7Xevs80bvLtf/gRflBvQw3GYi2Arqkb5Orr2Qithd02MHEO1P66aqMhZGoPP24IgmjsrKJcF4cn6MQMNyJi7zw+vU86kZv8n54ifpzgsLXZcRBNZRUa+V4NDuiqGKqJkJpF4RHWkA6z2kAkQUV8KloKVUYjaPZ6NFMM7kJqxpfVsT7C/ZnQ5JRJYzMiaV46gJ+OhIFq/Odj+TikpJ0KSteEmZU84svv02yIowNyl0BH70DFTlc2RqLBEylfojRaARXEfAx8BTC+VGN7iwEvYFmp2I0zBmnhRgPeU1hY8nfCP+cVyTakpqGUVTQMzW78YKNaA3A2iZo5Vk/XDJ9Dccb4jF470+A3wLeA0yVUi04ewG4Ex7fAi4ChK9PgKM/7+c6o3Dm9EJtehpTeuqhkTCQWBMdrzGzvLsYvEZ45l5RNRF5HYX3U/gLbbKyUnT6d2VPS0pde+K1w/Z8x7REQfHWnPPfdlNQ5OcmPPXf7xPPG5bnE47eLrJh5eDkcdj64yXKWrl3Gin/0sOC6lKJHjRs/ZHm9rcEBL20rHcj7DBFr3LYP5JxWCPpyaQJ1ciwujwhv7qFnq1ZXZlwfC1DPT3Dni1ZnjVMX3Jcv7vF7X9jD/XyDXxjcXfvc/CuTXCKYltRnq84m5xwOX2ARfFjH/030ZMx3jn8YoWPNGZVERWuW8Z9JO1EFwrrg0+gChZ14TDGk2Y1VWNYlQnrOmFVJ51lfxsMXjaGLAnCthDt7qOw2KgwjVAEmbuMLlVhiJKG0kY4NIWP2YtnOKdJIilOFQhj0CMMyIc2wmgNpnCdQhIN9Ug2BFN5oYtHBrynnEul44KJT3xcwMEJumiETl3VrM/1uhsXG85RSKwG8AH3UEoMgLXxgmXF7jSMts2djEN70ehTcVQ4H63Bio+E+KVqhWpgurliZ7AiMzVRQCM1bbUQwE/tiLRlM16JqjU6pZTH2kp4j407UdrXenwtU4kdpdQ0PO4B3w58EfhN4PvDt/37wM+Hx78QPid8/Te8//NDuNtJg4uE1moqwQCiXC4os24EzaetKMJ/DC66SdQEcaHCOiXRdMqzqpIuXLSVpKYngieY0uEiRTxXrPcU9UBx5q/exESW2791EW8Vw9sen4jr8OHTHj9omHwZHjyjuPwLa+xAMgfuP9un7mvyPcXs2hBzNyV+NWP8ekX01ByfxjT9iGTpiA4ErvHrtdiynczQy4Li6g6rcxoXiwmtykvBMXqK6SDn0bOHnDwhKsLJJzN6Bw7qGr9YoLe3ePCtFeM/iXER7JydcbPY5Ea5xa/cfyuP/b2X2vcS1c9ohuLfYArXqVq9lvOvQjXcLpRt6etqjYkcTW0oixhjxASndppVKSPdOtzAbZhwWUen/oZabgDlpDpQ9UNTpaB98alwFSJt+ZPiPAmWrWiJtSKw8k53padvA1+R19lS521Py8KQxKjaBp5GKr83l1bCjXuoIkTA1RpVK8xsBXUlvhZFhcpLig0jprUPRQK4ACh6r8QK3oOrDa4R2riKPP6hHAjVukC3bksts9Grzm1J8ioQApgKmaYjyygrBVt5qGUASEyD85osqgO4mNMzNaluOjzBKIf1uvv8jeIMX0vFcBb4TaXU88AfAh/z3v8i8F8Af1sp9TKCIfx4+P4fB7bC838b+C+/6m9owUetMLnQVqPcYYogbmmDX4qSZN6chmdoTxzbbkcxWvwXBmmF84os7DJRLEQkH7ALmyianrhCDW96ym3L/MmGW799keSzQ3QN6a2E9a6i3htz7z0p6YHmzG9ElBuKc79n2f/6ATY13PnAlHjlufdNsPknltVZTXIiSP/REynJr0/I93r0Xjmgf2tNdX6C76Xo6QQ/kJTp6twUFylGNy0nVw3JSc0rf/0R8m1FseO5+9IO5wczehcWqFdvsfvcks1feQlX1agk4eYPPEp8P8GmkF+u+J6Ln2cjXvOvrr8N/dcklBXv8dbhZ3PKzZhmGIdpjO8IXvKxHQ23uzu0DkW20dhadknvFU2jWRQpeRlTNYb5OqOoI6omwjnxcVQ6CK+CvLoN6fGxlNQu1JzKCy+hKSKuz7e4X4/JVMNUrzm3Oaeuo5AFqTpXI2+CJX0pQHGy9PRfPBDHrSRCLwuSWSM09NzJIj+bg/f0bht6aUW0n+AGVoRoSovjk9bYvSmrc0o4Euuw26aWJGnQgZ9hEotbxejYdmEyrVuTq3Vn2grIAlEJxtJVE14WBZ9+ZeXmE89ob9mJobTyNF7GuCALxDAu0XjGUcFWvMKEm6L2htLLRM55xTgqGEYlfVN9Dbf66fFVCU7e++eBZ/6M519F8IY//XwB/Ftv6FUgi0K8drhUoUsBHU1IojLLUk5gIg7AXV8ZO3EPt4aijkgiS6wdRSModmUNCgkPJXbhovdBbyFW8XHu2fiCpukrlpccbtgIaLSO2PiSQtdWlJglJHMRGx09IaPJGx/uM3zdM9i3xEvN6ozIcXsPPA/OOfI9w5WfOeT6924x/EyJXsSkD2b4NBHyTN1g96bER2vuP7vN5os1vQNNsZPQf+YQ+xtbgOIt/2LOK3/wBOduFJCmmP0TaVevXUZVNcsrlv5N2d2+5a0vMTQFz80u8cjfWUurMhyA0aiyguGUaqjp32lkKlIF74ldaC3plCe4DAkLT1UKxoIZmNiJq1ieoLSjKGLiWCLuk0jGje1hrcbmAVPwcg69UbjE4xKHyYOmwApxqD2KJuKgHFKh0cpxYXjC7YOp+GoEToRbSW6kKQOxqYJ0ZsXCXilU31Jd3KBVz6aHtcipR0NoHL0DTxTZ01zSQYZeJNBYVF6yfGIqTtDtoUJknFMhBCawGSMn4Lb2MoaMPCZrpKLKYwFKtZC60L6zece2jLLTlqj1wFS7JaOsZCtbdfqfxmtcYDCKIZGVqYOpZFEI3I+2Uqgx9I2MLksfof91mO/PPd4cWolgciEGrRrb0zSppppEqNoJulzKimfWjfgzICfbOQEf21aidrqrFEaplGLGOFG0pZ5moIL9u5jLApQbisUVS/+Opv9KgjlIiI81g7sVq/M9sgew+1zJ8eMRLoHdz5TMrvaZvuQZ3LccX4sY3SjZ+9ScagSD+zU+cV1/Wj6Ri1NzFouduXPU20MwBj3PUUXF3mdyBl98QLxyLM8YTm5OMYVn97M1N75jg+MnlLgfl6X8DKXg8Jjb33VeelInAOLjg33+8Re/mU88/zisc5nH5zn+ZCanum4eCg+WTE+bgQ56CaADBtvy3ydC0GkKMTDxToWYNI1vK4OHyGZGh3AVr4ToEzvMWkxJlW3HoRJxBwibsKUbexgkFYsmxeDJVM0jvSOaIqKap6eiI+MDdVu8I20K/ddm+CyByOCymPj2Ccp5qrHB9gRMpGlASciQ0Q47bpjuLnjw7gluewNfFPjZHFN5qqkTIVOgcmslIKwJG5JJLab/p/gBVmFXMdUq6fwXTvszOj2EqqRaaL0WWgjATiz9fslef0Fqmo6noJUnUjaAjQ2JbrrWoR3t1t4wC74BRjkKF1P6iFQ19M1fUgcn8WEk5DhAsrCdGEY1TphpzuGyQEoKVNIoclSNKCkjI5qJyhoSYymbqEsbbqWtuhacQjlYnIuYPWlRtWP4egh3ccExaKGwmaG3X7E832N1NqGawIXfKjh6S0r/gUNbT3pUsnpnjfmdEH0eeACqMDSXC7xRnP/ZWGLS1iWLt+8yeG1Jcv0Bdm+KevF1/GWZ9L78P46J4yV7/zBjeNew3oXjx2Mu/bMb4D3u+AS1uQFlDcMBi//D0HP3md3ZILcRyYnm//ziszxz4RafOrwqJ7eXoXTYL9IElKIaKephGCe6U1u7NlDHG0H4Ww4AkRfQTIkVmfeqmwhpLTdJVRmsESUryPviGtV5DJhC/BDKYdBMhL7Z9WVTSA6FgNZE8nMnccEL5TkuJQcc1gMpw1Mru3StBaewClOBM57hPVDHc4jk5teVxW6P0HlDOoto+preS3NcUeKNYvKFE1bK09vKOdkfMRorlLWgDSpLWe0afGw7ybTv2U4b0cbMJWlDsUy63Id2zE7XQoS/XyGUZ023ELTRdj726EJ3aWvxsGKQSnJZS9rLwgLRHsOoYhqtibXFhuedVzRO09dSQWg8I1N0VUTp3pjK8k2xMBBaA1MJ2hzV7QjKYzNZSnVkUJWjmkS0SkllHE2jGfQqouAWbbTrgmdMUFcmaU3bYVVjKKaao7dJwE3/tiE79LhIbhCbisKy98CTbxmGpcVFMoWwmef4Wsr4RkO2nzN7fMjs2QH950E1Japq0A0UWxG7nwZ+aIEdDOjdF1/G7NUDsgcVel3iJkPmjw2ZvhKhjpeY2HDp72qi+3NwM9JeysnVPeqRvG5fVqh+H58luBu3ufOjX095smQ8KBhtrXAbmse2DkhMw6c/c40Lv4WE2sYJftSDZAzzFX48QFdCHqsmcWe268NF6yJ4WH7uevahC7o1K0UqPKuwLiLOxPa5qQ1x0uCc6jgH7YhOObA9mUyoUkt1Eu4n1xNzWF2D7Svuz0YMk5JXsj1qH/GH9x45vdkCxZiKbt4fLxXj10tZ+Frz1xAl5yNNvKhp+il4j96YYh3odcGiyBhkFbnr0WTgjUGnMrbqWnIfFqBReZpDGYJqy3XcVUooGVX69gYO50lFDt9oVGbFwCUgpT71qHncWQpqK5VsmtWMgz/jsk67MSXIBGIQVcJpcBGxthjlcF5YqMOopH4oi66vq66S+MvZSnhxanKmtWlXwmPoGUwtqko37uHDm+aSQMB5yDzTOjHVbJlhtqXRhlW3KQKhp4Fyqjj/O47dzzgmr7ouz0KqCd/Jj00lr8kb6O0r7MiSncgJNrce0GSK6r0LTAHHbxOT1tHrnvWeTBcemx5w7xsH6KLh9vvkwoyOc06e2UZ5T5MqfFlC02AOFxS7Pdx0iNsY8uLf3KHc9Fz+Ry/j12tUEsPuJu7GbVSSYN87YzLMSaKGs6MF773wKrMq43M3L/D4T64Yf+omgMTUNRZ1JK2EykuUg3IjEbwmAI+tTqJllX5FCGog6wCdgWlrW3ZaOXiStJZId4QZ2IFvpaYeeVzs0bn04dufhcd+asHOZ6B3S3wgbeqJlprisEdtDYfVkN8+eZyTo6E4IIUbrZuWhAWqf9+T3hUdgR9LvoTLYlwaYbMIswqWbYlUbuZ4AdaSlzGNlYqmGbVjSXHBWu99JR1H8ictKnA9Wmq4dxIi0xm1tryEoJj0q+iUx1AFIlOjUaswAgqsTeVEDDbMytAa+6/wadTKM4pKBqaiZ2oi7aidYW0TameIlSVWlr6puqphYbNuTPkXPq78/+NQVubPEk0XouFqj03CvFgryu0e9c6QcmyoJmB7IowyxtOE/Mpe3GBCAlX7trYXLQHg8gqGd1wo3R7SBwTykykVyZGmv29ZXDSYQsRXxY4nOpGT23/tBP5f6t4rxrY0u+/7fWGHkyvefLv7dpie6RmKHHKGpClS5JAWTUk0SVGgICvAgYYo2w9ygl8Iw4YFAbZhgxYgWLAtCaAkWME0g8GxzEyLnBlO4AynJ/Z07tt9Q91b4dQJO33BD+vbu27Tht39YKB5gELXPVVd4dT+1l7rv/6hyDn9lyuy35tx+fdWnD2jQSkm9zpMJclVn3j+fdQf3UAItLdq4kpWlaOjjvZwwujY47/lGeJmS1xvmP7+G6hNzYPv2GV865ydF4C9BVw+IBzuoI7P0KMSPZ1QVznrqqC0jhuTMwrtuD5Z8tRPvoh+9Y5kSxQFaC1g52wiz9UNm+sK3QX8I56Xtk779GG1K6+VctK293mIobaDAWpvj953Cf0Wog9vJcr6jlyyDfpIt/yhYX1dc+97Fpy9TyTU85dh/qpsRcxG8/K9Qyqf8eLZIZNFhTaiXIx9loKX7iNbKQ4+9UAMX0eFFD7nE2Ad8YWWTNJcQZ7hZ6VQyTdbXGcp8w57ZiQFfZrjrx/Q3NyhPkxAoeqZjVEyUCODT+NwYzJxeI7Esu2t6Oht7JJWp1ddRi02cT0OFTIx2x1nHWPbDmpInSwFJraV2MB8jSFQ6rSe1H7QQSxMxVi3ybAlkKXn65C963Xle2OUUOBLLQnXMOgYlI+40iQPBUfMtEinC9n19mSaR1OoYlSMsm54zugg6r5Jhzq20hWk8Nwe2xjyJJSYfvgSqj3D6IEoJ8uHkd2vO86eyRjfrUFrNh+8gnnVkp9FQm4ozqC5PEX5yPaqYvFypLxreer9t1k9dpPHrhzJwXzlDcqzXbCG+z9xg3ZheOr08qDkY7VBtzD++QUHn7hLPDmFa5fZ3pwyygzb6yNW1y32tUh9Q/PK6pB78xnzcU34x5c4mL8ia8nZZDAdUWthwfU5l8FCOzepvZfxSTtwk3DBNWjldhws0jF0qR0OciBiBL3MCDsdTpshhj0bdRgjXgRKSeBKUIo4kjFBN1I0mn2ozYUpjy904jiIyeqTl4/FhajNUsFJrEcSaKch6MjkTgStxMFqLIUhloKlyEZJrN3ylRfTldwOo4bfWMx+xF1uodWc3xqz93t3OfrobChkeEV8ZO04mL3aZNzaW7Spi4/FTjCt2BrhLSgBHKNNrMc0nvQxctFKJ2VHFx2Ci0Jz7jvekemEq6AcXmkK5cTgNW0jxrqljhaTRoYu7YHfbafQP94THQMxSo6kkbc+6AVkewDgRpZmN6MbJ8Q8RYmDWMR3TlaWPshmokl4A8jfxW/twLwT0dTFzGUaMW/pUjupneRU7n5tNWgVTBNYvOLIXz0i5JbXfwyufMqzeK3l9NkR07cCyydzQqbJVj1hKHLelBx9q+WNFy6z+v73o4qC9tYl2ZUX0N1oef3HDgknp8SqQinF8n3JdKRzkOXc+YEDTj5geeMHZ7z5JxWr76qwG8XsCwWTFwr+2vt/l6OHc/Y//gLRB9RkRJiPePAnruEP5tI1NM0QuoKGzRVzkRXqRUBmapnzQxHFkjwoYfxlAdVo4f8nDwyCIswdOgsiNTb9a51eQxOwmScvOrl7qojfdXQH7oK70KmkeJXRrXqq4cafuM2Pf/RzfGBxn9N2LHdqrwhBD45IuhVSUnau2Xv+TCjMgFpXhGnSOZTyTbaH8nvqLkKeyfM+CNmr00yydlA+NgsFdcP2inhEEJWImhIg6hqDtsmZPAqjcygKlbkoCjYQt1YAb5/YjiZeJER10jmEUbhwaEpbzFnWDAWhLw659ljlMVwUqG3IB9yg5zDABZHpUVfoTPnB2+KdPt4THYPsuIXU1E0T+09DKBROG3QThrt7yIXWrCdu8AhQSgJm+rVl/6idOA5pLSy5nkrdqzd9dkG48ZmiOJUDUj3W0Y0t5mSNqh3qiRztA9Eazv6lG9z5Ic/VXzNMv3yH5tYB+Ubi4Y++NWd9M8PUosGYvBVp/8Fl4o+uKHXkrY9NePblK2QnW+KoYOelwHGRi1X+B59CbRoefHSfp372iM379nn9Lz6GL+Tnqx7vePLJ+7x1smDyG1N8Dpubkevfcpe/9Qffz7P/5RZ2F4TFWHwsjGb3hY0U3Su7qGoqt4Hc4sZRSFh5v2NksOpXQaEbuXN3s3Q4UnEY0pF6bwIT8bVBG4/JvOz0oyLLHFUlHH2lI+WioakyCX3tLN2VdJG2GjNv+dD1e7xw7xJj63l2fkQTMgJJMRtV6kCkawF6o2Tx5IjSMdB5MaspctRqi7t0KXWisLleki8dobRUV0vswxwFlHcMb1zaRU86OC4kjObDN8UESDGMU6bwBKcuTFfycAHCqoR1JcYjfU7lyBNTMA1JjBbTaBKLOOhF0PI9/CQwGzcDXwGSUlhJtzA1QlLqouAJAcU25AO2EFAYInW0hKgpdEcXLDNTkyk/UKjf6eM90TFErQYfhj6JSjtJQtJNIFuLqWePBSgvfwytxdpN97LToAlRoupKK/Nav/JRJg4kG9NefK+B3YeMGPU1z+zyGu0hjEviKMONFNVhTjvRHP3Zhv1PZkzfqPC7M3yuRSo+Nux/KWK3QrvWDrZXFfk6sDvbUt+doLziwbfvUF+fcfahXUYPOkyj2HmxpT4sWX5wl8PfvA1KMjw3z7Q0+wH70VOeuHXEbrHl8J+MiRraBZgn1nzv5Rd55r+uCeMcfzDDj3NRaYZ+haZSMA3odY1qOkb3FG4sr6VO+pFesyCcAtnAaIdc8FmUizup/wCh/gbhKZjkkiyHWFZ6ZdmhTSKgtSJki16hSi/rvQB23nK4u+Kx8SkHizWTsuWsGyU7MnEdap2RjqGRA9mDpNFErn2ikSKYW+K4IFzaJSpFWEzlmnLiA1mcpFVymVEeNbiDGRjN9K0UDacg6ki2iZw9lQ1BtVIVLhKnJZRW/EPjYM2WgMYUWqtKn4rEI3coEy+s+KMSQlMyGtKtmOJgJKk91w6rAlYFyjQ+TOyFSjKg6KK5WFM+8u86ZG9bSx5kKwrdkSn3tm7jnTzeE4Xh4tAL8Fge90ybdHhDHDgivhT0Fh3RffuKFIMQpeXsbd16laVK6LXqpONwpSJbSw6mrWSMsXVk8/6GaAPd53exVeD0W3YErLzruftdiqPvijzx38PitRazbtBNx+j2+QBcTu51TO5GZrc9zX5g+mZke2jY/Npl5t8w5Nc3LJ+WX+38Cc3RhwsufaGj3bGMP/0y2SaAVjQ3Flz7D16CoNh/6oQPHd7jgzv3eOV0n+2hJl8Jgv+vPfv7/N5PfRvqzfuozmPvL8kerrHLCtU6lAu4SYZbFHKAMiuvpReHqWEtmVBxesywJzap1O73MeteQR5QjZG7oVOETSYeCQhluqky6m3OdlUIINlafCsMSNPP6kqMUctRy83ZGU+P73NzdkZmPJeLc67k5xSPtL6xt+erDSoh+9M3NMWbS1lPgvgn1B2qbnA7JflJxerxAltHQi5R91ErsuMN2b0zqBt2vrEleMNiviXaSLEKuAkpIEZIWGjBTaLXFySufsxInUMvA49JuwPCY5EL9pE3I5yFQUxGrw+K6LEjs15yINKhL7RnZNqhK8iUH6jOIaqB5VgoRxMsRgXGOm0liCz9aHgN/bs86u+JwgAMd4Ihhi5CcdIOgKTysV8By6fXRqSvOsjKiQsQsvd5tDoZcqQAkFDGARmHtAnp5E5RHyiyUcfshQxfSnEqlhJ0evKsIYwDN341kh1vWN7KQYtu308LVITzmxKLZutIs6O58kk4+MKKfCUjTHVFZlM/CpS3l2yve+wWJl++x/QbSzjYo7y/5egHbnDygYLPffFpzMQRIhwUazY+J/9nuygP7Uwx//AxP//3vw/71glqNkUfn9M+tje4Q+l1jV7VYmPXiBuWOl+j2k5k1o10Zqa6eP37jYRIf+MjOQbyKaJ1EPBPlX4wLw2NGaLeg9OD/wUwWJ7pQtyN+hWn0pEyc9wcnTLWLTPbYFSkCRlGBaqQ46KwKl1jkhoxiNDKRq795omMEN4LfyTZ3JFZQm4kuayS7VZ+2opKN9eCt4xLKHIBs1eZJJelzlKMeiKqMYRcbNqCF+MOnzqEIa26t2TrQ2YVQ2cRe+pzLvhMXxzCxA+vt65TXH0jhSU3F/ZswnYMwxgBgiv01/nUNBTqgvkohKg0IqPQKmCIicdg/2h2DMKXj0nt6CRxau3pplYAyczQTQ3ZJojl2iaBYFzsk0MU+atOBKeqy2iSZsIkIKxX9NkmYtpAOzOCW1hYP+koPj8VDGIWsNsO3UVOPyDuzWajGd+p6PYnHH72jJNvWuBGhlBYsrUnP4/UBxnjOzXjex2uUJw9O8V0kemdgBtFzBdmFMeG0w/vk1/ZcvnTS9qb+6i37tPcWHD/OxfpDh7Bw3hSk6Wu6LO/+E24kbAH24XidDnhxs+/AUbTXd2VbMatE7u4PXFHjqNc7pZWC9lnOhZKdCfeE91EYbr4CJknYQ0BtFMD7hBtWrmVHtUbo1QW3Wg5FH1QSv9lnBYtQ9D4TYYy4lGgTBzs1vPiAoFvQsbcVnRBD6PExAgIp3q7dRCMwybNi1ID6BgzIyvZ6UhISl2gORzLZitAs19gz2oJ8tkZEY0SANIJrfr6YgkTh914wVUCF0zFFINok6VcX/hQUSzqkmYHK8ExoTMXMnUFdKm4DpsI+ZiptRSEkExyEmu3f4xtx04m68d+XAABGh8FG3s8on+++EMgY48vdPHdwYnvCfARoDhtxLLcSKaCm1hxPrIiqrIbT7uwZFtoDlP3gKDgufWMi5Y2FQKlItOiIdeeZVMKt6FNMttMWn0Br68AACAASURBVGRfaLSPBBQn394xeSnH1NBNJUA1asXqpmX/i2tOPzhh70tK7Nn2Z6yfnDN+IJqDdpGJA3ET2R5qfFZSnHuyKtBONOtrmqu/+RBX7ON+7ITtl3bZ/vkls/9tB/X158mM4fjHPsiDjwQWj59wth7hzzP2bpxxa+eE/WLD7/7dj6BmQj46f1LxPT/0Re786BTGI6hqqqslZicnP2sxUQJWojEQArZybK8WzM9rdJXWl16Yfd1YkdUyh/cjRdRSCHol6qCVMFESlq3kHdAxmLkOwqBWCoUaeagNbplDntZ2XuG1wRYem2IFfVB88ugWr072eW5+j5+69Tt8YvkMv35ffIBGtqM5K1EpxBVANYbdLyv0wxQ2vD9n/eSM2QtnQpkfy4wdrMKV6Y68DWLWkoqJqlpwjuyNh9j1TRpvYZkREt+ij4TTtSaOpQvoQ2eBgR4eSGBjUkvGZB4DQBbk9RoFsXizgYimd4D2ZXibofFsWmG04AqZEo8Fgxz2hanZ+oK1Lyi0e1thKJQU2Ey7QVsCpC4iEKJ+18AjvFcKQ3oxoxXXJrt16E7k1+KZpQhZIqoUMvcylS7Ae43OO9Z1wbhIDLee7Rg1ufFUZNLaRllFqih6iagVm6ua8nZOeSw5E9FAtxvoZhl7X60wZ1t0O2X1hGLx0i521VCcdbiRQTceZjJCPPxjir2vROpdPQB5s9st976j4OG377PzUs3yF3aZ5nA2XhC+q+PwE1dRyxXntxTzFw3ZU55/45s+hY+aq/kZ/+L0fbx0foitEwvTwuRbH/Kpn/9mHpveheUaNRlRLzSjELEPzsEHzLoFo3CzgmA1xalDn2+JeYZyHjdRlCdBaOhdxKVMj94zEYAg3UnI5K6qW8mAIM3VqpbxrF/B6UY2SbpVhCbN0TZesCaNjBWusrhNhmo0jZ+gItzf2eEP1E3KSUvbZAL2mYi2gezYpg1JkNzIVnH4O/dEKLWYEErL5NU1xEg0FrNucLOc8mHN6vExXakoTh3bywWjBy3tbo49lo4jFmKae7YdURxr1tcUhCBeD0G2CFpHIVjGC2yhH6+UjkQbpCACeuwIm+yCvq24MGpJvgsAJCVltGC2CjcPrLcFh5MNIWpsKg49i3HpxoOfo2wfpEPQKrD1BWMj4cQhpZYbZIXajw/vFl+A98gooYTLjF01mCYQM6m8IddoF6TKB/F6FN8AQciNkTFBK5iVDa0zjLMOo8PAHPPJE1LpeOHVb0C3Mvuff6hl9lrE1OALJK7dBoqHFfasIsxKnv5HJ+gWTONpDseETMvPaTXFwwbTBdxERqF2B1Y3RQvgxobDL3acPgfRKorzgC/E4HPxfM43/uoBd378KfIPn7K5GdnUOd/YXOJGfiKelcFQ/U/XqA6E27G5qbg5X/L4z74MD09QE6GJ77xSS/yaD8kK3aPqDl8aupnY4eGDxNlllvpAANfe77J/ZKtEkXYXKkjhDQjXQPUjQxSALtqkPPSK/FQzua2xG4VdS6FQlUZXBnOaYY8t9vWS/E56f63JVorigUadSqBrtSwxr5VMv1qQv1aQf2XM/JVkO5fJ32/veSX5ksag6uQQlaTWADhPsyv+oL6QUanZsUxuV+RHmwRCO2LbgtbkS4nGs5VgN7EMg6mKSjF9rk4J660RoDE9Yk91tnFghaqRG+jRMW1Rhv2qQiTYeSJ2JT5DNJE8GbpMbMNOVjG31aB1GOjOuqVQTmjQ0dAkRqMhYoipOKTR4pGiYAhk6t25RL9nOoZoNdH3QhnAgt04uaitppuZNAKQdOsi1MmLDp/An71xReMsufGDvXnVij9hcJrMydeOGqoDS/vnTpn+7h7aBdxY0X37ipEJdC/MQSmqm3M2VyyHv/Iqj/+irMXaHUu28qwezynPAuWDFtUF7OUtD/54wfg1aWUffrOiPLLsvdBx89c7XvvhHD8J3PznDtMYFq+17H8lcvsHcvjqDmj42GMvca04I1OOz6xu8ebffobNFY3dwvIpzY/86Cd5/rsn4q9w7TK+yDBna+xxhbs+JeYZhIBebgg7U7SPlA9a6sOcWGSy549iT1csPdtLmvzc08wstoJmV0hO3SQOBUM3wkTVLcIG7C/00g9ApGkU2UY4INPbkXwdCJmQpbqxopsq2nkKg0n5Idk60k0U1SGUR5pwmtOnj/UekPVVjx9ruoWHPJC/mXPpt9+STI4yiZ1WjbAdRwWq87TXF4zvCDtVO8k9FYewCE3L9rLFNAeUX2uIMTK+F6mUUN7dPKkpNQPjUamIMiKE0oUXKnQCs4XTIdevai+wFyCtOxHfhaSv6Dkgvax96PAV7IwFBTYqUuqOqakHEBEgS91BqS9YvYXu/m+qyTpm7Jk1XbR4NKVqWD2ynXinj/dEYVCpIwi5RfmQIu81hIhuPL60tBM9hMNEEx9h2gnO0DtC94lUo+yRdVdiqnUzMQcJVuH+3AnNZ/bZe1XSpduZoq0z9P2CrFGo1rG5Ytn7siRYq/MN3eMHTN7Y0uyXjE48232DqSzZ1mFtR5x26C5DRSiPFNtrEV9mZBsojmE799S7ltmbjvy04fT9U7pDucPoreH5k2v8e8/+Fp+un+BXv/IcB2NB1jfXFc997EV++ZUP8sT8WHQPnUPHSJiPUZsa7SaE+Qi9rgkjsW7TbcCsG7LC0F1ZkB1pCPK6RS2u2L7o9+nI4R7LAe4p4iGDQfeQZmLlFXHsiF6+kC8D28vSfLa7YDdmEGP5khQOkwyMiigdgJWvG8pAHHls6ciLjhA067cmIs0O0C1kC0GrefyfrxO92MsoMcpk85JZYm5FNJVr7HlDtygpTzzRQDszdPMcXY+SM3iU9abz2DqyXRdkLZT7Fc0mh8oQSy/szt6EJSAmr1rWZ6oHFEsvnYSJF9bwKXELl97velVlYpNqiCSsJiBakqiY5TWTNBYYIslqNuWjhMFToRdJ9R/LlMejhPUYNaswGrqHOmYp2euPIPjY2+RrFyBKHJ2tvHgwIAYuKkAzT5qGXFhm6hFk22h5cY0Og2z1bY80D6sADz8SUK/scvXrQlZpJ4rt1Yi5U2ArRfkQuv0xk7sdq1sTFl8+obuxT/biHTjYxY4zqmnG5EgCcsym4yPX3+B3nn+W6ZsBNxJT1vxMYWrIzyPZGm7+asVb3zdn54WW+x+dcf6+gJ10hHslYRw4+vQVTp4pebU5ZP+TOdUlRbaGnY8esV9seexvROJ8SpgWaa0oQFosC+ymE7Q9RJQLdHs52WmFcgFTO7pZhi0zWaluIpM7DdsrhbhaLwPbywZXQu8/GNNorDtkzWbkLh5ySaxma4W0oyJx5nC5wazFDj5kkXZH3JV0K4ebCLEM6LHjsSvHaBW5PFpx0oz52OELZMrThIyP3/kQtx+OGPIdk7GqPreSPg1SFHIrmZNBtAhqU2Ncjh3ZlBsijsu+kNHHrjpCaSnPgqhKmwZVXDgn+0LW28oGwiNhNsDbErQGl2oTCJ24lffeo6TzT/9czxLtWaOQCHoisY4kTCdIpzC2YvkupCSPTtuIntV4ca1f3PSE2ejwUcaKDghRs43mbf9P/UexMKiYSE5d8tLrGmJmRDJbdeTLlurQyoXmwK40XcpV7DqSWYiiyKRQnLcFWWJDxig5hbODc45W+2yfaTDHGTd+QwJsmoWhuqSwj6/If2+W8i2h3suY3N7y+l/KKJYLRs/fJu7voDYV9//0Pntfd4zuVbzxr8x44n9dMrUtZi3dyOSuI2SWel+xfjyggmb2puf0uRn7X+k4+uiE829tiLVhPGqpQkl2Ygjv2/Bad8gv/v3vxe9DfRjQ37nkbD3irf/oGphAzCyq8cTSQuvFd6BzmFW8oAe3HdnDLX5eSCdWpGi/bYPygclRwGxaVCyYvLFlc3OM3UayPFHOtRo4JcM+njROrw1u5uUAPHKxkwf8BNGKnCvsRr5WN5X8iKiBVqGmHbcf7KJNoFlY7p3MeeneIYe7KzpveHA0R886QmUxi04yISvDM/94IyKwECAEut2S4o3tkDUZ5xOqm3PG33gglnm3ZoILpHjDbp5R3t9iq8D6ek7x5i4xBOG0RAiXGqpNgbFBaAkJx3qbCUtyb/JwkVVSGxGXbYU8NiR5D5Tpi8OpkkN0VBd4lwoKM3YU1jG3zUBh9kj0XH+4/VBxuKBBp05CuAx2GCtWXhLCM+3Y+kKKS7z4/9/J4z0BPkat0Ota6KwpWAbSiNF4ScGuE2DjLjqMYTNkPNYECuMxKsp/U77iYlSj0miRH27J38y5/BmwdZK1usj2qZb2aCzqvgizNzz50tEcluRlh6k84fKe4CBFjs+FfLV6YozyUN9ccGe7IFtqjr63ozht0C1c/lzLwRcUyw84Tj4gmv1uKockRmldQxC0324V/823/RyfXd/CVpHtdU8oI+8/OOLJn94IeFg3AiDaRIctM7ApVCczkuhcZOKQ7D1+ZIdxLCrEXi6zIljLjPhQuJCAS4bEb9XJ6yxbnHQBIyBgsHLQVacS3pDeeuZkADcTnoSpwVZJI6Aj2inc1gpDcpNz73QmbstOc/doh7PzMTRGWvaU96i2htmLBn26FkcpH6BzZCvplOJkRJyN5boJkWiNBPnESL505EtHNPL3bvdHjO5s0sUTCfMRtgnETmMLByk7oz+DOhOWQHQp6l7Hi7Sp5OyksmTE0lu89YWgt5A3cSBARROJKRFt8LhMY1qmPXNbDbyDUnXD++M0l411S6kunKAL3THRDR5RWK58yTbkbEPO0o847SY0wdIE+0fUjyFtJWKm0bUjjDJCbtCVI5aWmGm5sDWDQSytJPLECG0CHPuqWCT2WGHdYLn95oNdwktTxvcUdivp1O3csL5u2L20Yv6CxLX1Ia/5cc3p0xnNWUn+6hGq88Tc0txYEC3Y0y3bQ8PooYTjfOn2NWm7nch3u6mi3rXsvLjh8id7oxK48wOR9WOByQsF1nq2DyayWmrg5x5+hF/63Ic5e39k/9Yp//p3/w6f+/zTosTcGUNmxWzEakgJ4G53nEaLgF7VqHUl2oGEMcTM0O7kokGZyS5fCE5Jdj3JyFYdo2OfOreUxtUJ7hAyYUAqL6rLnpoeTZSVZZA8iCF+DeE3RCOeFL4UTMFsZTukzy3xPIdGpNruPCe0BnWcE18fp5ZcDk3oNGarmb/uJWQ2BGIphU/cw+X3i1ajVzWm8sSRuDi5QifbOinEzY78P6GUZCnVduiqIzv34DRl2RGDFCkyCakNrcEnZWjo9OC/0K++L5iOUhwGT0e4WE8+kpqlWpWASpU0Egx3ubFt8Vx0AB6NTyOEFAqxjB/rZugYANooh34bcta+4MRJMXBBsw05ngsK9bt5vCcKg9zNNLruBFHPLbpykiEIEKCZa4mOc33CscK1kjXQS317mXXlMmJUrNqLVKqQxDLdVO7a2gn7cfmco/ud/UGCPH0jMnvpnJhp2gUiN25awjjHnKw5+nDB5c92hHHO5c+c43PF/Y/KXW5yN3L91xT3/3ik2RM9RCjEOXpyW9H+yBlmZdCdoptF2q8umLxqMYuWdhH54f0vMru85spzR/z0s/87/8v//H0884+2xEz28zEzxAS46aYju39Odm8pO/lcpkIVIqG0hHGOXVaEXFPe32JqTy81L04d2ysFdttjOBrdBcb3PaaRzixbCWvQrhW9tZvdJkUgSNfQS4ghsfw0YSQYRMjTOjPFAsaUQl2caMq7hvyBoXyxZPSmpXgrI4wC+TPnQrWujWAdW8szf/eI0f1aRqblGuWkYzAPV7jFCD/KpBCWGXYpRRGlOH8i0YPLpCJVYNcdITMUZ9JZhCLD1A7lFdttCqBJFOdQWWGA2otsSjVgDGroGoITzoVJLMjeI5IUuTe0t71bU+I8KJd8MFvwrWZsO2ZGcjvzR0RP/UghnUNDphx5egtRceom8taN5e+CFJa5rdm1WxamYj/bsJtt39WZfE8UBhUZxDBhMhIRUJeMNVpHuyNpTiGTmVGl9jU6UaQ7J5OYDxe5fi5ISlXnhW9vbBDlYPqNe1YliH16j9LvvlARCku7W+DGkf3Pa1hMMSdr2FZyWCqPH2Xosw17X2vIn1tizizH3xwZPWyZ3jgn5BE3iRw/V1IdaJbPeaqv7eD3O8b3FPOXhdo9fz3gKyHx1CFj++IO9x4u+I9/6S9z4zfO0Y0TvGUqFy4uEKYF0WrpALwfdvjqfI1fTDDp9YvGYConq7vG4cc5YVaSndaUJ4LdhMKQnWxRXmz1bS3q0J4FaStZWZpaDU7GIndORJ80MwvJKTH7HvFZCHmQ12IU6fYc9WVPcxDodgPVdUd1w9E+1pItGqpVmb5BBKfRW407nMmIMCokdi5GyCx+b4p2gfVjIxkLxkm/MpE525fg8wuyWfmgxS5rQq5p50rGrRAw5w2qVYzHzWCiIodY3kKysevDarWJFzmVyLhBRGTZWRDHqgSc9n6Xfeo1cKFBSTwQNIOuBBj0Dn3UfV8UDEHu/uhBSbkNxeDp2AfOjPvMytRRlLob1p/v5vGeKAzRqMRw1NIeag1GSdy7knAYV8pK0RdyB1JBCfIbFdb6oV0KyULeJs1Ebj3jUjIKVWLzDZRoJwy2kJFyDyPrG+niVIpsrdj/g3NimQ7lqJQchnVHNxOpry81o7wTYlCjeP1PlaweTmgPHLpRuJHi7EOOS59S7H8polaWdg77z68IOZw9rdG5x43gffl9fvj7P8u//+Hf5H1//wR8hATK2ocr1LZBbxuiSdqHzBAnI/SmEfxjbyFGs2nHr7yXIOCqk1i6qpMRrXUoF9GdFMeYGezGka08OmknglWUJ4IV9FbywGAF17sbyxZDDlMoArrVA4Gn1weEcSDOHGQRe1CjLtXYg4p8r0ZPO/Jxi/cak3tiY2Rk3Ghu/VJFdbmQ7UNmUbUkReFkG+RLy/wbK7mz1w693AhjtnMX24Eo3Ak3MnS7I5SPFMs0qowyVN1IJ9nJPtU3BpzGJJFYn/ANciNyjZHNxSNdQy+qAkR12utH4MK7oi+aqXOVbkG4Hj3AOdYtE32xUcuUp9AdpeoY62YYBx66GatQSr4ncXCEnplaNhrakWk3MCI9inUCJN/p4z1RGJQTuXG/YwdkDWcMbl7KmvLRDZLigmiDBJs4b/DxIuHa6ECW9PytE6+AvqsLmRpUm/MXLNXlSDeHfBMolp7q6ojtJcvoKBILg15Kt0AUtZ65c8z4pRPCOKc4aXhwd0F5pBnfV2RLxc4XciaHW1QQVeX0ZclPdIVi+rqmvuy4/x1zgo089vEl8TwnWyle7i7x3PgO/+w//SGZm1tHLAx+XuD3Z8RxQRzlMi6MMslY9MLAJESiUbj9Cbpu0bVLUms5aMoFmv0Sc95AJ5LsXoWofMRs5IKc3mkwTUwuVwJI6reBkQysyJjudDETtqAKSlylgTh1qP0G5h1m1mFKx2xvQzkSD4Yruyvy3DEat7gkjY/J/4AIs1c1+cv3hnEHpcAaVJNAPh+JVlFfHYNRaW2bS4dlDaG/o7vI6IHDTY0walUiuN2c40dS3AHJ2ez5B+ngm5EfGItax9QdqEFqrXTEry8IRqrfSPRch4RPqDaxINNI9iho63MoRy17+Wb4Om205Imp2NOcl37CKpScuOkFGGkaxkY2Gf1zTfJkaELG2pc8dNN3XRTgPVIYANm/dx4/L4duQTVtOozIXaFLhJsof1w1EuGDXDMXZpdGSfJy4yUdySTDEIDe40FANEW2iZTHasAv2plme2BoZ/IxQJB/Y4RuHBg2Ac1uIRjC2pKtEL3FOLK9EglfWFDd8EQtoGN1oMnXgcm9gK41wUI3f+RiAf7x3W/nZ/7pjwn3XycyUgC7rCWYZtugz9YCHHZeCkL6WUJhUVWLbqRYqE0lgOS2vcAfIrLRsGbgiJT3t0QlB6ubGsy6ZfSwY3QSyDYRU8WLROxaDfkHalAfXryuMRmWkCWuvvWUk5a86MgyL/bnKTNh02ZMipYYYXexGWLfRLGouPbxt2BUSpTgckPUWmzbjMbtT/HTHLvuyM9a9HlFe3VONAbVOsgs+bncBUKm6KYGncx5fGEwjWRc2lUrBbIIVE0mYGKKo5NNRCpyqSMILgXo9Otbp1GFH25QsY+fS8SnvmBGe7GeNLWmJyvGTEx4y7y78FtAkyv3Ngl1E7K3rSsL3bEwFaXqhti6OoGQPnlA9unWXZDnegzinT7eO4XBewGVzmsBIEcZKEUo+jBbmRuzDSnAFFHtgaQDqTjkSlSdHYxhm04Ohc18Ai1Jctw4sP56ufH4rYpsHdj9Ri3Ep5nCLCvCYkJsJUHZ1MihVeK0fP5YSXkkQGWx9Fz9lGNyB6rrjljIyrHZjWyvxcFSLswdtoqo3Ra9qlm8YPCjyNOzB+x9xQ/EJZRC9WrJzBKnI9yVHR58i8iqlQuos5UoKXs2X+fFaj/P5KCk1a8fZeSnDe3+CLcYoesOQsRPc9xOIXwABSG35A82jO9WTO51ZFsZsfLzmNKk1YDIRxPRdZqfsyCOyCMvAqjcUxSOxaTCWs+4bAbcZ10XNF2GUpEic9SdFReoRhSwZp2KYowUZ53wF0A6nxRM68ZCkdeNA6NZX8/l415er24ihV638cJYeCQ8k/JhS7BKcKMYJVbOhEFGrQsZI0LQyfA13eArS6iseEqkziDW5sKtqT+7nUqRdDJm6WQuo2tF7wcSbBppM5gVLVPbvM1paRsKtiEfMISe09DToENUw5pSNhJlcnCS673QTsYMFd+mxnynj/cEwQmAIsdPcszZVoxGqo4wKTGVI99YUFJp27lKVF0Bh2IQjKFfS8ao2BnV+KBT+EykaiwhmbmkQip3SS9BJ24CkzelFc+XchdZfsBz8Dlp0budksztg1HiLm0NGE15Z0Wzu8v2GUf5akEzN+x/5gHFyZhsM+H8SUt9tcOeaNonGo52DdmxBRM5+Y4OFRUPv+sS3RTKB4qv/9VnmfsVblFgU0HQtYCPyjvpAEJg74VG7nwhiEbAe7STn0n0/QZtNHpbE62RNWbt8POC4o6kb8fM0O7mjN5a4+Ylfn+GXXua/YLJyQbTOOz9DuX36WYWXyh8IWldtlbCbep601SE75wFMGnOBrabAqXEkMUHRWE9Pggm03SWTAf25+fcX884XpXozOO2lmufQTgKo5zseCtdZIjobUeYj9Gtw24168fHLL5yCkqx88Ja8JSmIywm6eYR6KbiEO0m4r0hNGlR1vr9Gfp0jd4YisuOrrV0eSTWVsaJ1pCVDt9bw6eOKHRi9RZ79meriUEMZbGiQCWZuMRee6EQIZrpb06yog457BQVB3bNjtky1g3nbkQd7dts33tb+Ex5ttHAI2tKuLCI92gaJx9z0dAFw7IrOW3eXcfwnigMUSuZe70Fo4nzCWpTYdYRtZigu4JghdffJest5VS6ScbBl8FocddtkglslzqILHN0nYEsovvg0BjRqXvwJew/fz5wFWQnPqXZVbJGbT3NtSnlqyeMjzrpGFqJWh8ftahVTrsXOEez90XL5saIbiK/2+SVjGZfek9VBLK1gns53b4jOrFyn70eaHaUbA1yTX5/I3ebJm1mYqTXCMRRlrADjTr3A2gbrMa0HUxHstosMgiRMC4wZ2vCrBxeZ3KLXreUCADnJhbdSCq0dhG/GGGWFbQd+d1zlJsSM00zE+l7O5M1prg7K2KVOiEFaOkclBGPxzolUhVWLvCdUcW6zfFRUTvL6XZXNkkRQmdQG5uUh1II46RM7b4ljkC1Uih1JxoXfMDtTURyrhRhXNJcGqG8cBeUl1HIbjx2A91UuobizKE3TeqyFOtNKWE5Og6ah2gj3mthN/YbhOxidMCKEXEEVOEHJiRNWt+oOLAd+y5LNxLWHCyoTL7UbiGrxH7r0K8cgcHd2SdwJDzixPTo6FDqji4YDIGH3ZTTdsSmK7hzPmd9f8r8638UKdFeyDf6vCIWuSDFWstKattSPmjYHo4FSXeCdPupRxcepcPg5BSiGtaVtbPSbvXzYafJaoXdyhbEnjV0U8vxRzWLF+HkQ3MOPiVEprMPH3D1k35w/AmFoPbtjR3RJJQZ+ryj3Z+QffVNzJ9+mqihvuZoDyZ0I83stsdWhpMPQhgH5p8rWX5Tx/bJFr2ymKWlfOqc6Z/fcOf3r9LtO5bPFtz6pVbGB2RbALmwGBcjzKpJz0G7sBSvitt0t1NiNx1hd4reNPi5HCYyKwCmNeiqgxiJ0xF+nKG1dBdunMnzRrYW6ycm2I0hNxo9LtCtIzveEIuMmVGEe3pgjdb7GfWupt5Lc/OpliBYDaHUYCNeR1brnG7RMCpa7pzN0Tqy3RRsExrvGwO1kZQqBeP7rfhTxijFQZuhG4i5FdAVGB07+Vu0jjgpiZnBzfLB5Fe3kW6ixYGrjlQHEsk32Ti6icHsjcnvnOF3HKEzjCYN1WqKXhnxnygjKlhYOLGHD4poEqCYovts2dE1iQNRSTfYdxZDxwCoTl94WkSNTQG/bhIZmW6QRR+76cBSnP2hFWMXzbBhqEMmxSAaNq7gyM9ovOW4nvDawz3iqxP2vxi58aUzlD+FEPnyuziT7xmMQZ+L7FRv62FvrZdbQpHJnQ4RnBQn4h6tEjWVqKSqR4XzmtaZwdJtVjTiLN7JXNjnMxYnHfXVMW/82cBf+1d/hW6iiD9xLCSa1ZZsE9BtZPryGj+ymE2HbhxubDDLKrHtDKbqUEXO+J7C7zjGhxvOnsmpDxT1rmH6Zot2kB9ryuPA7GsZ5Rs5oQyEyw3jouX20S7drufJJ+/DQcPLfyFtChonq8nSCg9h2xJKix9Z3CRhK9Mx6mw16Ez6g2NWMoerWv4bRzlEEVepVtQ7bqcglBbtA3brCaUh5IZs5WkXhvpyQXNpRBhl+MWIbqeU9X7KD13dLKj29cB1kNCYOGgE1CPG0ez7xQAAIABJREFUJLrwNNuMqsnJrUTJxyACJN/IHVZ5IfyYStr8OMpxB1P8pEC3Ejzcb5Ki1eCCUNUT4Ut8H8VvQbdC8fZlAuZ2DL7QZBtx2gLIzx3dPCNMS5FYt8ns1ckasThR5GeyeszvZZL94IW1qJwmbizKBLqzUvCWTktBCCSbfRgEU50WAF1F7Ea8OuTf4A46dqx0DHXIqKPwE3rdg9iyGbZeMIde+2DS8xtXcNaN+PLDq3z61Sd48cs3uPIPS57+B8fs/Ys3ZKPm/HAtvNPHe6JjkL+mHgRANK3gOG2HcR4/2SXbRLqxQgchBoVCeOtm1AnfPoiIatPk5LaTMSLtoLs2AZBb0Vy4qWHzk2f8Z8/8Nv/Df/HjLM4dby0nHHJGrGvKBzXHH5wwfrUlvy/tuy8tdiOkoaEFrQX4Kk7jAFadflfD3u8UmC6SnzXMX8o5/u6W0Se1WMLfiBx8xnD8fY6z1Qh1v+DqZ+H4KzfgOyoOri957ccPeOIXz1DrSrqopIpUriPulAMxS3kv9GArMvGoNco51LaGUaIOZ0bwlG0jY4jrGXnpldcKu2kJmUG7IJqCBGCZNrC6NaGdaqrL0jP7EbTzcJHONO/gLBfvghRxF8ceZQOzRUVd5eSFI0YhooGg8LuTimnesG4LVnUhGRQqcvpgRjcz6LbAntfSBSwKdOXwhbhdE6MUzChcBus8flKiO4cvDdl5K4UhV/hMkW2DOINV4lqVnbdUl0vKhy1uXkLhUWtLXWeUR/oieKiF/EzhJkLr1k16fy3XX+wy8XpMQGMc+SFcpucvCCCaNjnuoliqBEJOdiqmRvQOGjHD7UVQW3LGuhVnaJSMDSg0kbUvOHclr6/3OKtHnLy0x97zip0Xa7K7Z4P3BtaIGnVSwmvv/ES+JwpDNFrYfJnBAJTC/VdKuA0qQnnqySqFzzWb6yLtRUlmQTlqGWWObVqB9byFTRCTlrzoqO9NiBrWjynmf/EeZ3f3+dm//iNsP6DJzwPT3xuBWqJmU+zth5hnJmye3qV42LC9VmKayOSVM06/ZY+dryzRq4o4yonTMee3FHZpMK/NKL5tRb1fUiwFQD34g3Omd8esrltOvrdhd3dN/No+V3854+73ZhSPbbi7KJh9NefZv7nm5b98wLf9ya/xmWee4NbfyclfugtKIq/DrCQ7b4kqF1KY8+A81WFOfp/BoQkYCFCqaqEQopiuOsFyQoFdNgJynjXC1Wgdet1gjh3d+JCQK5rdjO1lQzuXmbibxeT6pPrwa9RRQSgDupE8ST9NXodWU+c5rjOEBAwHp1il/MdzHbkHzCY1Rgeuzc85LNfkVxxXPnLOcTvlxfND7vzKY1z/jSU+Ubz7Na7yEVW7pDLthiKZn9QCvjqhh5tWOk0VI91U0ywU+TLDF4pmX3ImbOFxQRFag60BpagPJJTHtPL7aifpYCbFyrERrUPIBe/yowgrjZukMaLfnqeljYLBpt80QmyqDiM3ZmthJ6qObSi4380xhCGPsneB7hKQ6NE0wbLsRpw2Y14/3qM+HnHl07DztSVqI9khxEhczOiuzGh20370C+/8TL7jUUIpZZRSX1BK/XL69y2l1KeVUi8qpf6pUipPzxfp3y+ljz/xTr6+H2WEzMjqTavhAo91I6s15O4WVWpdnboIP0lGLdYEWmfIrSe3njJzFJnDOY3ebWkOPR/7M5/ncLTm1t9T1HuWy5/e8PCbLPPbTlZhUcaYYEG5CFo8AyevnOHnJbqLLD+wIMxGhFwMV/e+FnALz/aahy/N2Ly/kdWk88TMcPL+jOUzMJ1XnNxdUB0oXKkZvWVojsbs/EHO+pbH7Y45/HzgU88/w3y25dV/R1E/d0MA2fR6uGlGKCTancwSDnewVRj0AgAxz9DnF9x4VQlzkM4RxwV6LWOJipEwzoSLUXXyfUZFAhg1LoG9IRMxVMzikIxtt31CVRw6BT8WO7SYBSg8rjUSfusVvtXETuNrQ+g0vjVkmRDQrJGAlT7JeelGjEzL9xy+xI//pf+Ts7/R8MYPlvhpgR9noiLNDGGaS6eU1pmCB1mqy0VaCaqUWI5E1EFiuuoUbKQIueFgdyXkpI2wUrt5FICwYKCBu5Ec7GwFdkuixoviVMBNGYPyU40919heS+KlqPQO5WIEG/Hpay/ympUvWYWSlS8lEyWtITVRhFBRD6vHymcsuxGVz6hcRtcZynuW6e0afb4Ve78yxz12Cb8Ycf54ic/10GW+08e7wRj+OvC1R/79XwE/E2N8BjgFfjI9/5PAaYzxaeBn0uf9vz5ipvGlzOx+XhDGuWALRYaajIUCHCLFSUe+FnTZbkXs8ihlteksRgufwQdN3Vm2bYZJDL2/8j2/y6+//D7e+m+foTrMREi1bbn0/W8xfXFJnEnuoQqRdqFo50bMRcfp6giR8b2W1WOabm9EGKURpQpMXrPJ4DOilxknP1Rx/O2HnL1PDE/9tQbnDAefsuy85Fk9oZjcjehKcfbNHTd/JXLvOyd0Y015ULF5fo8sd7z2bwVou6F1VkEQ/J79qLbik+knidCyOwKlpJAohTuYJj5IRiwk7FV1Dt068FGEa40njHPcYiRjR0jWbkoMTAD61CQ3uvhYL8keXKSDgG2q0eKeHJTYqW9tUhumt1ZyKL2X8a8Xv527Yhhj4AJ1/7M3v8hf+JF/wUs/ZTj54Fgwp0TeUi6ANejlBrMWv4l2JtwDVyq6sTh/mVrGCPFYhPxM7sjd1LI/2gqg2Ij+w029BMHYpBBNNIqQCbHO1KKrUU5WjsL1gHwpW4dsJUUiW2rMVtLTxdZORFM9YUxFhki6EDVrX2B1YOMKTFpNauLbciibYNm4nDvrBbdPd9Cvjdj9eiB/8wSqOq1hp/hJxvaGWOi3kwvW7zt9vKNRQil1A/gzwN8E/kOllAK+H/iL6VN+FvjPgb8D/Gh6H+DngL+tlFIxPpIi+4ce3URx/6MF+bJgdBzk8G89mfeEzOAnGfmDChUCus1ZRAhFhptqXG7pMn/Bkk4gJMgsezDecjha89ZmwT/55T/B6KEiak9x6jj+UMGdj824+vcWjNdviSYiibmufHLF6XNT2oMx7Uwzuf8QW8/pLi8kh+JaTlZFdCXsvMf/4Wu8+m8+QXWzY+eLGQe/oDh7Ck4/KDPxbF4x+ScLbOU5/qBl72ueh99kGN1ThGPN6bNQH0TWf6zl3372M/y9Nz/Gk3/L8NJfsTz4nitc+s03iaX4GrpyKpTndSVt755ldtaIpuK8HoJXVNNhEPDRLDdiA1e1xDRaxExDnbquzqOVQrUd5VFF1GPqPTOw9npKtHG9m5PM4ERFVwbRSySvThKIR9Dihdjbm9k4uCYrHTFGrP/7R0h3xp7k04ULDwFN5Cf+2Od57KPHvNXs8gu/9N08/vEV6v59oYPHgG5aCLvYakS2CTQ7mvKhT9F7OpkAS/fgJgaTwoGsy4itQQfpjOCRDqkVUJRUFKJRA3PRVnK4dStkKl8oymNZg/tCXo9oBZvRJ0nS78E8kJ+huiShx1svXcG5kwo0saJxaKJ9W0itFIvAa8s9Hj6Yc/BbOQefuIfqHGE2oXviALtu8SNLN5G1r3aRYhUJ5v+fjuG/A/4TBuiEfeAsxth7q70JXE/vXwduA6SPL9Pnv+2hlPqrSqnPKaU+57cb2p1IfQnaqaKZG6oDAc78OCcYhV6LTZnuxJpL+YufJgSxdOv5DGXeYU0g04FnF/f5yoMrvHW8IBghOAWruPedMi5cfuKEnS88JK43QsE24qJiTtZM32w5+UAhSHbnCNNSWHXTSHUoL93qyQnFqSNuNjz2f5yjnOb86cC97xhRnAcmb2oO/gCqr+5QnDoefNhiGlg+YchWsL0R6GbCjjSNYufTOb/14H08/vGOdjfnym8blj+4xR/MCeMC1SSD3MRtUOvtkMWp6vbiNUlCKj9OAGSRyUjhpTtAycpWtU5i7HZK8S7IMxkrkK4kO1cpnl4uLLtN9npacAc/iqgu+Qs4ha61FJKQ0Pupk10+XFig2ZjYg0mvkjcExKyk8hldNFQ+T/4EcSDxlLpj6cZczZf8uz/xce78tCNe3kOVBcpaYhRtSL6Sw+SS5NpUYRgrtBfuhamlcPhMSXKZDYRRlHEogQLRRPzMyyiVEsBDIbyXUEC9Lx6kKAE6dRsHTY+I0SLliXBDQqboxgljaKE4D4zvaqouG3AEq/1g6yaHMw7YwtoVPGhnnLRjTs6mzL5QcPDJ+1IUFhPcrgTpdIuCdmGJKSGPyLseI+R7/388lFI/DBzFGH//0af/Hz41voOPXTwR4/8YY/xIjPEjej7GjwLtPLC5rthc03QTzeaxKdEomr0MvzshKiWagRCx20Q4sRc6CJMs3mJUNE5EVZ+4e4vOi28DStZEPlM0B4Frf+oNTp4/JEwLcV4GKQB7M5TzFEcbJnc9pg5QFKjb97GrRgxGd+TrnDwnbEguH2IeLLn18w51uWHzoZrTZwymipy+X3H5s3KBjO9IEYgGttcD2VLjH6vRraI58Jw/FXnpxavc/sGcyStLJvdaZr815sW/MiNmIrU2jShQVef4v6h70xjdsvWu77eGPb1TzXWmPt2n+95u3762b2JDHBNjDA62Y2xDgBgZEUAJiSKFhIQosxIpSChf+JBECEFCEF8cbGHFCkTGRo6xMTGe72Df5va9t8fT5/SZ6lS9b73DntaQD8/au05bCG4rSnS8paM+VV1dXW+9e6/1rOf5/3//2PcSrNILOj7MrjiGqumIRktex15FWFSQHvxgNXrXUr8wx1UGn6VbwSj6g4pood0X27JyUjrrPlmvlZTjbh5EsLPTkj8RGJmQ0QYxWbXmyjSko0S22SA+irwXk1swTGxH7WUrXvYVl66g9hkbX9AHM5bTbbSsfclEt/ynn/pptn+p5eLbXoAsQ2k9Rg+IOQzKp/0oLdddTKPCSHNoKZYBX8KqLoUBkVykceLkaJTEcEPQb9SyQPgq0k/l6CSLOripJIQFk/I1EkrEZ1eNS+2hmwv3w+4CdheHMC3JokxNx4mWvMqhvwDw5fU1vrw65c2npxRvVFz/xTUoRXfnmN2LC5qTHF/q9F4qfCGp8cEq+okacQNf6/W1fPm3AX9QKfUe8KPIEeJ/BPaVUsNR5AXgw/T3e8BtgPTv94Dzf+b/IcrZPEw93UGQEutlxeam4fJOQbun6A4Hr36Ss+apVPMKawNtL9SausvonKHMHHWXkVtP15kR1LJ+1XHxOuy9qXj74Qmv/tV7mKdrwt4U2k4MRu99iD9e8OV/Z48n36TZnVo4OYCjfd7//n38jZbTX3P0U8XpZ73MzduO/tYhH35bwZ2/rvjkX5US9uKbHHtvQfWwwU0M2S5Snil2tzy6E9hr6AzZN19gNhq/8Nz6aUV2qXjzP5tRfOUhxSqiW8Xjb5mDUhSPd+hGREBqNsVnivrWVKYQrSfsT4V6NSnJznfouqe+Xo7264EN6Y5nZGtHvuxoDyy6D+Al3yMYRbaJI+I8WBJcNY43vkkzeV8JrsxPgiQ9mzTCIzWJvYIiCIQFiXuT+yMySyFBF82EyvSsXcHO5RgVqX1O7UX/P5iBht303E9Z+Sn/5ou/zB//b3+S9f8q41mA6v4alzIlQBYxuxN9hvIR3QWmDzt0H9i8BKvlRFKnBjITSEbmJJGiiyAAmtRL8aUsev1eEEZoHunnwt9oD8RjU5/IkUMFQei7CXSL1LzVoPtAc6xYlJJkfWB3zKxE3Q/26T0j2RJtsLxzdsTdX7tF8SMH3Pmb72AfXOAPp9THOd1cJy+IbKiu1PSTK0DN5Ikfm6hf6/XPXRhijP9VjPGFGOMd4IeAfxBj/BPAzwL/RvqyPw38nfT3v5s+Jv37f/DP6i+MP0irpeQ8bnH7jn4eaI6g3Rfno2k9WC2l4qqXlb0QM0uWdp/Ceqq8p8gcfZpOdM5gTJRKwkSuvXTOt33nF4lakb9Z4W4ciIPzcgdFLhqKw33MoyUv/b1Atlacf1fDl/7cPm/++VPqm447Pyyr8ex+L8zHk5zu9hHv/NGK6nHENI7mWkG/iLz4f4p2wqdGpSsU+287inM5v+9uBK7fuGBzWeHTqKufaF7+Wx+in2a896fusPfGkslDxas/9GX0tsXN5CiAUpKxYKC46EbberQCZqF3MhnJLZP7Ne5AzrDKR8y6oZ9ZfKEx215K4V1HLC1q19LNtSDgLEQrmv6okqs1MSxMJ0ezMbYuJTgNUwrd6JH4RMpjyCeylea5F8pWU0iorIqsupKdy0f16tbJwrDsJylg5aP+AJAGZaF7/vSLv8ib/9EtzLpB1R3zex3ZJmJXV8KefOUxXcRNDL4wAqrJojAghiZVQtWPBCaVPjeExyRjVDQkLH5MUBgSnAa6Pakw+pmi3VeikNyl6U4h/Yf2MKO+6TipNui0Gg1p1gO1KaDYhZw2ZNRPK04+Hzn47BlxNqG/fcTqkxN8LjqNkKkxqDhqWYxGo1ahPhIs9LVc/2+Uj/8F0oh8C+kh/I30+b8BHKXP/yfAf/nP/U5h+CUHGRvlgTD1uEnETQTHFrXw+vTjC9zUypuU/BIRyK0fsySaTnaO3HhC0FgrWK5QRv7DT/wslRGwyvy9yOZ2JdVCjEkQMoz1SmztuPl/73jtv1vx4k/A0a9rPvG3HXYrvgLbiAW32dO8+4cKiqea6z/7BPvggtVLlld+fEtx3sooqQ+S3h1hfctQPobqkSbMPA/fP4LLjNntS8yi5/HvdlA3TD/QvPqvvY1qO8qzyGfv3haoymUjQrAQUI2oKwd16OCmDFVGLDOBv5ZW6M1nGxnXVZn4K3IZ2/lFjvbQ3JoLGGbXiCMxSsNMvjG4WersRxH+BAuhDKNwR40eAeQooRBJsB0UkRHXG6wNY38BhLbVejtOJDpv08fiKiyMxLzXPqcPksxUKje6DnPlmJuaP/P7f5Y3/+yhhPnaNB4MQXwSm156Jqn/QIzoxslirOS4NDwNqkgmqD41SnstkxQbx1zPYQQpeprUsKzkmGFa+d24SVpQtUifh0mEz6E5UBRHNQf5TsjQ2lFowbsN1KaVq3jULri7O8CuLPnKw/kK8oz6eim9NxfpZnqsot1E0U/ltZsWXCWf76uP12f4WAKnGOPPAT+X/v4O8C3/lK9pgB/8WD+FArvTAmQKSvh5ecC3mnoCbqopVhnTBxGbZdjaYdok5NFR6DtFN347rQOZCfRBo3Wga3I5chw2HJkNP/nrn4Fv7Dn4rOXo730VtCHcOMIno5HZdPSHJb7U5Mse1XRsr8kxwG46uv2CbOswlx1l7Zi+23Hyjz2xsKje0d865PJ1x+TJhMNfeog7XbB+SUZH04eOx9+cUT6NLN4NRJWxfbUjWlg/mkn03rxn8ztf5Novb3nr9xzT/0VDfBde+SvwwfcecPPnt1gn2gV6P0JP3V6FTXJoIW5L41GyOswIiSUKDHZ73bC/cdRHOfWxpj7KOdn06NmE6szhKlFrDoSm7FLGbrqDzSc8ulZJt3BVgg/p0HhFLNIum4jJSsn7pXUkBCUMRBXxibi16QoK49iGHKt9wpspWm9psRRGFgMCrHwlkW1JHPTELfiG6gP+0nf/CH/5te+k/K8tUVeopkd3OaruUbHANE6k0krhq4zF9TXr+4urW7HTV4tZIoSplFitvIxjYxFI7ZARYac8IwzIV3LcMrWSfI1ajeHA/Uz8PuuX4dbB5RhxPwTMDJF0IWqW/YT7uz3efnzM4i0on9RwcsDl6/u4QuBFzYHIrVWMtEcaV6kR2OtzyLcx9UY+1hP5fHglTCcCEd0pwiYT/byKsNfDXk+/H+hmaWY+q+gnliHODCDLHEWiRFsj4qbea/lc0CN9p78oeK87ZvFli2ok60HlOWpSojcNZt2QPV6jm452X6qSfp4RZxXHn1+z9+U1+rImZJrlKyX9YYnuPDw+B+/pDydiX1413P4pOPuMGo1gxdKjXWR73XL0Tzzbm7B5wZBfRug12axD1wZ9aak+O+H+D/V88D1T+jcWKBWZ3lWYdcMnv/dtsncfEa1GbaVy6GYqQU2FYaB6j24cZrnDXuwEdJslHJyWI4huemb3HcGocaoRLHT7OXhPdtlh2sGWHhK8VM7Ju1sBPITqoyfEOKDSFVd3VgqCHWjK1vpUnClc0KNdvveG1htql1H3GauuYtMXXPYlF101cgYGFSAkRmbIaWI2pjxnyvEfv/x/cf71cyZfPUO1wnqMhcHnmmg0ugsUj3b4yjIr5cEMeUxNy/QaIowAlmFRSISmAc82XAOEJWqpCnw6dvlKFoyQRzFkRbnPo4L+pOfG5JLK9L8lis6Pr9NFzXk9obsoyXbiddm9tMf21NDPVCJtpYqklErBTZO+opH3IBhoDvVYUX6t1/OxMLSR6lHEbpNSzAayTOg/1awl2kC3EB6Aavs0spT/1hYO58x4k2kVaXvLNJdwWxc0VdEREtTlf3nrd9Mt4PZPR2a/fheMGfMWVOsSPqzH1oHq7pp8KSg083SNXu0gBLoUUpM/rQmlFaUmYDcdj3/HDLVcM/vSObqHh79rgUqWZp9rsp2UosWFojmKZFug9PSXBaEIcNrSHkV8bXjpJ9a4WWT292fc+mPvolzg37/1D/DXj9BPlrII7JqxQahbQbbpdXP1zvqA3vWifpvkImjadaimx9aefiHz7phoTLsTwZ2ZpxuaQ5Mchor8UsJjfFoMdMqVCGWQHVaRREI6PThRRqdDNZEesm6XE4LG9Yaus8kAB33QZDrQpCiAPkUNSrivZWpb/DNcTx81WTo4d8+kLIX0wr/pz36esDcRt+5mJ7qPIII203j0rsU0jtwkuvOgW05Yto8ogoYjRhq3qk6JH4Ik7kqy6EEaLXLs1IvJSf0I+eMrIXqVi5bCXE0g+pQc5VF4FE3I2Lqcp8sZ2YUh3wT6/TJh8yPZ9iqYGC39DBVlQYhGcALCLVEoJ+zOj3M9FwuDrnvm9xyTB4j6LCgmpdh0rQmoyuOm0O4beUhbOb+GMuCdwVopO23SMgyd7tZZcuuoWyGaKq/4a9/4w7LzzTX++pHoFrxHdT1qsxPzSddjWgl4IUTIM/zhDJUgpNsbmpCDfnTO+aenxOtHIiY637B5EeL+HNU7qseKvfccj77jBNN4so2nXShsHTj+jVZ24xLU2rJ4IxOUetkTssjXf/I+X/73CvbfVJz+w4e88dUX+MqfOeTXdq9w77v3iF0nmvgQyDdJ09AKBSssKnFbOk9ITEPdi7My5lYmEwjmbPruBldp2kOpGFyFJFb1jnwdmDwQJV99XW7ocUcNkmWpGxkDR53YAyqm7r48PKo2kIWPpER3wzFQCU/DecOuzekSPwNk9LzpCmZZi1ZxlAG7aNj4Ik0q7Jj6LE3Jq3r5Dx9+llf+2ttsXz2U99B5srVDr3ZSbW12XHxqwqouhXpt0wP/TE6G6q5+5mjTAhgVoQqQ7P+qT8IuLRoH1Q/jShGCiVs0VR1OSvp+ETlZbDjON8xNMyZVaxXoU2V06Uqe1DPC45LF2xDS2L7d12gvTexuLpL1fqLo9uS9szVUT8Lo4GwOFf3i/wMdw/8vV4xU99YUq0i+0ugsEIImM0J6Joi+vJsqcA67biXzL91YIeiRxTD86VOJOth8VUJ6//d3v5/mNPD4W0B/+IS4FWIUdUM4WhCXK+pP3yB/WqOcR+963MFEtPmLCWFe0e7LiIqqpLwIuP1SwmAuVtz4Rc/uxQXsavqZzMyPf2PLo2+ZYGvP9gXY3JCH89qv9aMuoFhG6js94Y0FyikmtsNOnBCNVxte/x9W+Lnn/eaQ/ps3qDwn7sQPYesoYcBtNwqUYmZESu49fpZLNPy2EZn0QjqKdiMQmHZPlI0SYJvekm0tTkYFbiI39YA7Bz5y5h6yJaKJacT3zFtrItQGXXiCExK0MQGTwmn63tAn16UPAvUNUWFVoDCOy66UoGIiXbBsXE6mglQTz9Tzu1CwDQVNyJgowaR938HnuftHPbGuUV3Po2+pxNKvFXhPt6dYbyqRmPeKWA1TnatqQD4OYwWhvBJuxPB6E0J/TJYCqaSKODZqBaqrcLMglvsskhlPG+xoqwZRfrbRsnJCW3qynlE+1kwfebSXCqGbKfJLCQmOVnpJ0T4r0xYxFVEajwPO8J+qLvpnXM/JwgD6csfeV7cSwNEadKIxVXmPLXs5A6YXp9qeYiky3BAUOh0ZGmdpEovBPOOfKIqkNlGR93/sE/yx7/zHnPwaqKqErsef7EORC2vyEy+wO7Ey+tMavd5izzaYi50087Qeu8tRq0SVSj6GImf65hnnr2ds/qWXmN8NouVHzp2rlwvm78L6Zbj/eyyXty3aweS+kSlALkzJ7JNrcu2JD0rWL2hUWQjeLJPX9S+/+B5xMUNNJnIUAlTrccdzgb1GifYb8Pt2VaP7SJwUBKvJznfSZ3CB7Z0ZrhSqUEydbNX2KGuSag7ylRpNP3YjYbHRRvzMj6PJoUFJl1gEgStoSRGEnegVvjP0jR2rBu+E89h7M0rZfVS4qMmMpw8Gq0PyEygq01P7DKMCOu20Q9JzqXu6aAiI3mEbCv7C7/o7uK+7Tcwst/7+OVErivsrog80xxHfmTEcR+X+KlbOhrHKVJ0euQqqV5LErbkaxSKvX/cKtEiigbG/YHdpdDh3zG5fcvqpJ9yaLqmM8BufTZYaro0v2J5NsLsrz0c3k/epnwzCK5l8jP6NbSTfDH0NUqK4MDufXay/luv5WBhU2qHaXrTnNuC8kfMfMvMGpGQuclTT4UoRpESn6XtBuU3zTm4mLzcTwKJsMSpiUiahq+B//4lvY/maIq43qAPJYiBEwnxKc33C4edEjxVmpYwyAbzHXGzxs5zmumRBKh+Y3a2ly920YC271464/ss7XKlo9zUXn5JchNOENsXLAAAgAElEQVTPXU1NiJCtFd2eNPSKi0hWB7SNlP/KGW2T8Uvvvozyihf/t3d48p23xcD1VVED3l0folZr4uoSnEP3Eb3e0R3kMq70V9FtPiVjZ9tEnD7fUt9eEGbyc7lSjgLBQvVE5uD+2j7upVNCISKdfi43u05lswTBPnOMsFFsxl5m9qpXKeI9leapOhjDXBh+pUoIXFEmST4qcuswaVJRu2ysAIfewtYVTG07qiENkVL1aJXSzlWkSw3KhW5YmIazz1RyDIwRtZE+EcHT326JiawUq5Rp4VLjMTEbAXGQpr5CtDFZzGVaY3b6ajRr4pgto9uUY9Ipmhse+9KG1158xGtHT3h1/wkn+YY9U1MkieRQNfTBUPuM99ZHVHczynMhlw+6BBWknzAkwEdDmkow2rpR4j8ybUR3SX/yMQELz8fCEALKCr4ruxREljSYFHkKqBUaTiTWAjgdoK4kd2WEsceQpQlFYR2Ns2gdROSUB0ImO2C2UYQ7N/DHCwartTuoKB83xFxEPnrTgNajU5E8Y3ejwBy0ZFsFTYvZtMJC7OTBL5622LMNkwct139hyexDj2p6lq9kHHxpx/aWIr9U2How4YgartmXSczqcorSkYO9Le64B2PYe7tGd1JNtN7y/t1jMAZ1uC+6C5DqxslZOiwqdOfw8xL7aEWY5WSrTvoobUf17gUD6brdU7hK0PfBKvq5GqcafaUFWtrIvF521lQ260iYeHlokqVYdzqF0CSkmZOFISZ46rAo6CwIlVlHsszTd3aUsje9pXVpAuEN80zwZp2/oh+HqMm0T1bklND0jOZ3SGua65qb9oLTH7xL3Er/KGx3ArLxXhDxlcPPwlVsfR4gG/wSSVvjr5KjYlJ2RnOVsqV3Rh5OL1WDPJxxfEjtYcPp3oYXZxfsZQ2Huagch2RrkHHlIOI676fcW+5RPU6TEi3fJ9tJJSCJbDJxGBSN2Tpim/QeJu7roHPoZ6Ji/TjX87EwDDLU3KITvqttLZOsxwct0XMuKf02WwkkTfmVyshcPDee1gk2fuA9ZtqTG48cKeUmrT/V0BxHXvipc6kAJrncKCnmTa924mt3AmLVTy9RIcjHzrP8hOjU7BZi36M3DdpH1GxKOJyLmGhW4EuD+uAhs7cv6W/InDyUcgOVTyPNScTWkXwdqM4FbT+MaYvfnDDNO2ZfynnvT75E9niN6hx773nmWcP1n7HE9UaqFJV2jy4Zn7pezFBGYc+3soC0XiYnRo+y75BpQiGGrukDmXVvXxSbMQlf3xwkLuRU+jOmfmaMF5TYq4dLyy4ZrSQ6D7vqMK6MtRUrthckewga7wxdKzmjmfFkqUL0QdGmqcTOSVMyID2kPmr6FNHWJlJyGNSCaIHMhowewzY1I3/g+m/QfsNtaFqU0Qn2IseeMCRGaYS+lKZicQif8Sr1GOTooNJ9pBuNqbVUUcjvRLmhmkoScg/tYeC1G4/5hsMHVKajMO4jsFfzW2p8j+bdyyN2TyeSo2KvvicxeS/6JDxLKlS7i8nUppJmQSWzVhpD56Ig/jjXc7EwxBgImy3qw7OUGK3wzrDrE2E4k049MaLKglgW2EbK1+GN3XZSQuRGFoOI7K6NszS9HSlCsRPDT3NzTrRGglAXU+o7+9jLBlW34qJMVYK/tk/84MH4s9YveHxrsHUk3jwhljn7b4ihpb49x246dN2TXzRwJHLr7MmWk89vqY+zcRfoZ5H2QBGNuPImTxy3b57jVznNSeDBxYJiGTn9zvvc+/5r9EdT7n1X5Kd/+TMsX9Vw+4YslLuddL2rgj6xIOUmDmJHzgTIMmZgvnBCmBaoEGmPStp9xfaGYndTZuzA2BextYy57EZdzeOrICKmQhSDuk1jPs+VivCZHZagrkJoMjnOKC3p0b7XaBNQOrDZSQBx02UYnfIQdKD1Fh81+Ug0EusxQJEAqoXuOTQbmpCRP3Ne38WCXSi4kz/h6C+8R1hviL2T6q6QRUPtrORYDP2CIFoanBpdoSoRo3UtC+WAZYvqqkrQKesTwE9E/eimkflLKz6zd5/XJw94pXrCSb6m0FeBMutQUiSoaxMy3tkc88GjA4oH2TiGHt5TVwEauoVUCi4lswuLMy0CBoacV1/IazI1lGe/DSsGhRKMm1YUlwG7lobUJEmcnTf4KggVSSnUtpY0qaAweUDrQGndiI5vnGQWAGgVr0JJO41ZWYpzTfWrbwuaLTO0N+YUTxsGm6bqvRwhqgK93KJnIpm+932nTN8zUIsKUu1aGW2erYiTEiKYs0vJiTy7FPdjSl+2D5dkm8D+Ww1HX9ygPNTXArO3L8XgM9fi8isC5kbNbNKQbSP3f/UmJ19oefsHc77vd34BNHzT93yJ5tac2LSoPGfyoeC8sq2nvXMkFJ8saTO6Xo4GOznqhEyPnordqaU9jPSLmEZqYicmCkLeNmknyuScPeD0QpmoTcl6PRCRVdI2jO9rUFeNvF4ePpU6/gOTIXgRoA0wHWMCrRu69EoySNMUQquY/BJ6FDyFqGlDRhPzq5FfNCz9FE2gS/qA7zl6A3XruhwbdzVqPk2jRRnDijdiKF3TlCLFyg1MijCRCVk08rsYTWUmonpBtkUDZqfG+L7r8zWn+SV7ZjuKsIDRKDXXVyToNlgerBfE84LqiVQFQ8SBbQRTJ3g5+XrTQXaZ+hpaehC+VOiWj0QK+vIjrZ2v6XouFgaUgqqE+TQ98PJprSKVFVOUikpSitPXCxNAhEAguHirA4V1ZGmisWkLSiuEIJV2OZtYffHWKc31KdFoiocbzJMV+mIzRr4B0vvY1oRrh3zpz9+kuIicfKGjemCZfZBIzJsdYW9Gc1O4jLQdfl4m6pKYnfy8IDy9oD0wmF2XqgSF3WgefMcBl3cKmgPN5cUEeoXrDas3j3j4XT39vufdP2z5rm/9DT739Bav/8X3Wf3JPcpff4f173uNcHqA2XWEeYXuA9l5jeqTAjIBW8Ikhdy6IESqecHuRsXuukpNs3Qs89LdVk3H5qXJlbzWxLGZpnoljcYAcThHW+nkD+7EYdz3WxcKFEQnZqqYJhBKRXziQLrE6gQS+l/ALaVxYq5KPQVJZQqsfCXWZBQrX40LwtLLIbuPliZmZMpxZDe8+d/sEb1HKUVYTDA7Aclg4xiNB1cVDz5pFQaI68CTGHQKuVQGqlfETEaUugfTXYmd9ooak34J61CO8BmtgsTdq8BZP+esn3Gv2efs0YJ8qcejQTeTyZdLzUfTMMY02h1jlqjPky+ikMVdBTB9xJWK2b3Abxl6/HOv52NhAKEOPV3KjDlC8IpNl7Pp8zEbwlWgigKcqNhUUNiJJAWV9qP2Ma0ihXW4oLHGk2UeUvdYeUQFmJiOateM2ZTRaKE4Jemwf+GEzctzbv3DyOlPvcvylYz5+5HLO6UQnyYVquupT1MQzFTERXE2Se7GwPZWhZ5NCUaxuz1FN46bv+A5eiOwuxk5/3pYvSbSaDNzKB156ac6zHmG2Rr2bq8A+PD9I5pP3yJudzz9A1/H/MtLuiN5CEKVYTeCj3d7BaEUo1SUtFgGN6akhxsZeaX7XEQ4cWQqRCMeCdsM6jm56SU/VBY1jDQbQxXG2PuYZMW6Fr9BtNKYwwkjYZRL93K8UMn1qnRIY+eIc2aMG+yDOAyXbUWf+gwSDS95ji7ocdQnzTupIiYpMXro9A9l+w9946+h8pxQN/gqG8GsceJEgBWRe6TyoFMYrX5G06CG41E6+7uETNMQbBy1IL4QC3ao/OgUXfkpKzdJ2oV4lVUZNUYF2mB5tFugttKH8oUcTUJKdx8mElGnCURqSsbkHhji+QbtRNRi/9bpc9r9NjxKoBVxV4O1FBc90YI2UfDvQAgyEgoZIiRazMYV0HcCE/VRsesz6t6yaXPOdxWrumTXZay3pczNe42bR+pr6Yz6/rlAS+aV7LB9ShieVeAD/mjGw981Z/bOJfPffEKcVrjJgCNn/HouLglGYRtPnIp4SNUtsSzws5z5W5dgDNkusDuS4NXpOyvm726ZfChPZzjtUI3GrzP0/ZIPv63g9Fdh8lBRtxk/+zP/Il/36of0//k5b/+5T7B8DWJmZEGqO8n83LYEq9neyDHbjqgU7igtVCnJSpiQXC3AWbqxUuUgiUlSPbQLAZGYJjXcXGouahH9hEL6BqEM43RCpYdfphNXZTjITjzGw6d4QTfkVZpI1xm8V+KbcAbnDZvUO6psPzaUa59JIy/1HYaq4dnsR0OQ6PiU7lSqnjvlGXiPrkqaawVuKlMFWjNmTepLmxYyWfzkBx/uU1BRjZJvlX4fyl01Ju0u/Z40qCJwnFKsPWqkUwGUqsdHNdrIl/2Ee8s9ijOxgPczeW+yTRxHkRIP+MxxJ/U6Bku1m6gxFzO/lOa2rZNE+uoU8zVdzwU+nhAJTYupSrqFJbtUuER+3isb6t6KZDVAPF+iDvelYpDslFHQlGX9OObsnKWwDh8VbWYJXgQ7+rQhPC6pr5XMH1ygVlupDPZnmAsJb4mFQZ13mAvFzb8vc293ukB3HltH+kqz925iJ2pF+/KLHH7uAjT4eSmNvlISpOy6pbkxI5vmXN4xnH62oXlhQfm599H7c6Kai3Ao8/SlEYtvhKM3PM2h5tZf/Tz6R/d570/NMX8yMs88ze+Fw9+85L0/uE9zw/HoW084ee2Mx28dceMfweEvP2T7+gnlo5rs4VoCZ7Q0In2h2Z1YmiOBh4xBMelGq56IitIXalSXukmU8/WgX+jln8orokvS4eS1YFDZJf9BNDKhiGUa/TlNLK/O8yYPdHWGTXwGpSJaBxk9p8phlne4qHEup/OWg2JHGyxBqURz6ih1j0d+dx4NdOgozUhNYBcLcuXQizmx77n4pAXjiSkeT20t+qQRP87OSsXzDMVJdSpxGK523vSfXu3aKqYjhpz/q70aq/1V5cIVaEYCY+Sos3EF720O2T2eUsWkS0gP/EiDMjJ+DGnNKpZybMm3cYTBDFVEsbqC6eheWJSu5GNdz0fFoMAc7gMI57+Gfp3jvDDxysyhsmThzSVSbUz5MUJvqvsMo8VqbVTEGj+KnIxJKrZ0483f0Uzf3wAIS3FaEQtJl4pZSnJKzC3VdrjTBWbdoDcN00eB6tyhW5H+hpkEwKimRbWOfmYxj5aiOjxbEjMJQLHLmm4vYpetkJIOFoT9KdpDdqlRb09Qpad8aDj6YuT+748sXwP3O76OOCnpF5FwsSQWOcf/+DHm0ZJbP9/wyb/V8+oPbwh/+4RP/kjDg2+Hs999g+zSSfL1TDI6ojE0LwgByvRpkbXi+hvSvqOW/A5/OMPWcuP5HFHz1WnbtFHm/ul9G3bWIdxWHqb076x8Lgz260HfEJFd2it8Y9D26mGLUdF1ls5Z2t5i0xh62+ds+5zcOOa2Yf3MnZ5ph1YheSZkVC3/1KMSsgkZPmoe/cAr4D1uhiRLpR5CLD1+Z+XnSqPKQdmoW+k5jGPDpPQUXL6AY5WXHb6fpddsIATFWTujCRlaBbpgqUMulU8KoO2j4VG74MlmKguoYnw/Bl5jtpNewXBUKJYiOMtq+bibKYHOJsHTkGwnQB01HkU+zvV8LAxAbDuwNsl3AX1FEA4xlb05KGsJ8+lY3gWnJZfAeBpnKZIgKkuLRGE83ssyqzpFXji6ORLYkkJY9LbGnK1RdSvGoyojHMwAcKd7Ap918nDlK4dpAnbTobwkJ0/ekHFmd3Mh8eyTEnW5heDZ3aywT9a01+dkG8Xq9TnFl+7zzp+4hptJXyJfyRtq7xX0s8jTz0g57vcc7/5BeQDypULNZ9R39uHicuwVoEGvGxbvt9jljld/eMfFp+R3o5peXKHrGhIluFsYupmYb4aeAcnkY2thBK5fnlIfa/qZGtV8AjORm89stegTSOdsK937YVQpjMSYjFVJUjz0F4ZFYDBapQiAodeQ5WkEmfUj9btxlt4bplmHVpG1K9HEJGxSY2zbzDRpKmHHLEiAx25OqXumuuX821swRqYJ44QEmUq4RJzSCYWfUHRDilRITtPxSkekAcwy2M19JYTpps657Ese93POemlO98FQaDfax9uQsewqtpsS06grZ6ZPWoWkXcjXMUGQZcEuVrJYdFOV8HKMoFkUuKn8bD7jt7FXAiWU311NtJr8MqJ2hk0js+Y2ZU8GC/7WsdzI6mruDNA5I32toEUQEyUbcd3m2FQxxIMe5zT9Qppx3e0j1LaWWHsgTiQOXm9b/Lzk4puPaa5VZA+WIna6uCRkGlM7iJHu+hzlI/76gaQgPVwzeVDD+UpCUA73ydYe5QP3v6Pg9k88ZfZBy8XvfZk7f3fF09dL9t/uyVeRW//QEe/UKA+z9xSv/Jgnf2TxC8f6G0/IVxGOD5h89Qy0on79Orbx5B9c4A8m6Nbj9ieYTcsnfvQCe1ETJoUYvxYTSYy20izrFmnunnaRiNz4xTlMP9iJeCxEXImECA/P8EQWgFCmpqK8dWAieqelLB/e0aBkByxE94CXvoPepv9OR2LakX1n0CYQg6bvLJOyQytZFLatVI4+meR2TihOWompSkRP8oBdOJGvaxXYhQKPxhDJladJzPf/4Jt/Do4PpVwP6kru3MliF40In0COFzELhMqPMJqYieIxapnEhCpe0ZjTS/NlEoTdK/niezf5zYubfH75Avd2++IBSU3HNmTsfE7tMsImk5FnkxqMXo4CxWUQsnkaJZsOFu912FoclP1MFvPB5m13IlLL1vEjdu+Pez0fC4PRYC16OpEwVyd6dIDOG2ZFR0xik8E56CZ6FJREoMoSYBSouwyfxl5D+IwCYiPpR34a0NuW3fWcmGewXH/EjOT3Kh7/jgnlhWf6lXNRPWYWf3oggS9KEaqM/NEG1faidpwWYoMG3CdvonYNYVFhWk9YTDj5vKe9PsNNLU+/XqE3LTd+7Kvc+7c71B9+ysNvzdj7mQo/ifRzeTBv/aMe1Wru/QFPfU3ozW/9WzcEpLJsscsWfyRqy6gVpu5HxiNGYZYbsVB3jubaRJKftczGff7MWbaXmypfR8y2o5tJcpGvGDvwMUsjyVQphMpLpQASSVfERDO6UuVEE9FbM0qmBao6dI1F06BLh7KB4PVYOdRtTtOLTNrqgA+atpfjhCay6Qtc1OKXSB6Kgf0I0AbxWPioaGKWMPQind4zO+7/gdMxdDeqSL5MY8uUHIVOlOvhCARjmBBeGpCkKkI3qRejARXxA80pixLOc5bz7v1j3np8zL3VHrl2ZNrh0/GmDZbLpkQnFaVOi4NpRGAWlXx/N1GYWhYhXxrB0U8H7KGkeedJFj1ML3yhUo9IHJkf53o+FgYgNg3hco263JDtBHbRtXLO7IOs5m4W6I+mhNySbX1KFpLJRecFFy/NSGlaZcYzL9uUpi43QkhKPD8vxYiVZ+LTaFrc6YLL1/d4+g1Tjn+jEU+BSbvHpkbFSP6kpj3M0ZtOItPmJTHTbG9PREn5cEkoDe6FI/SmxT5a8eDb95m9vSJ/WpOfN+RrxePfc4Iymlt/M2f7i8dEBc2JPFjTDyPZk53QoDvF4bVLuv3AB99dsfc2qKpC73p026OXW0zjyM53YwCN3raobUOYVxK7lxYznyuaAy0I8/xqWjAEr9omorY1/RS6PbGWh1L0H+PXDiWpiUJ9HubjEXlY+is+w/hQBUZr9pgxYSKx1eKLSRTvEGRx8F7hnBmNVSFKYpUPWpqQKZhGxpaWTF/twM96JhbpsN2EjCZkSYrsmH/PQxEAGTA7jW0gW2rs0mC2GrMxV3LvmJSbQRqQMRfJ91UosFQIbubFR1IG/DRVFDoh3h4UdI9krFwZoT8P18YX7FoZnQ5jypCmD+ZK+zROGLKdVAI+T6rZxF3QXkaSA18mZNJ4FChQHJWRX+v1nEwlAqrIUVkmaj4vxwadmoirbTWCPnxlyJZuLJ9oDV1qUsVoZBIRlORYDkcKJV1/vy1pPpjDfk97XFJcesIsRy8NBNkt9764RW1qwt5Mfq6ul2i3EHDzApVi49EQKsv2esHkUcfkQ0mljpNCxCcPlzLyPN2T0Wbr5Hsdzen2Iv1UcXzjmOqXv8oN90mKhxtClXH3exc8+Vdbjn7F4RZTrv0KXCyPefU736f1lup/WsPeglhl6LNLaFr0VIJwdC15E5ytUHlG2JsQjhaEMsOXV9F7Q9xcyK/6BLaGxZsX1K+djmGt0aZdv9ECfW3FSxCzgGqN3IQDtGRoLBZXqkieybT8yBk3pVKpIhCDQmfCalA6orMIQeNjJEZLnnoOPmicitKA1P5qQUCzchXH2YZMeZpoRzWhNBwV+2aHH0EThj/+4q/yl/MfwGw15Zlifjewvq3F/2KlPB8ArkSB4AJSQTx72xZhZDOYncbvO1lIbIBk+oo2QqeIE8/JdMtEd+ybLfe6I3YhZ+sKdquKcpUq4qGCc5DtJBSnn0nCVXnuUT7SHIkOZRhnjiKyKMrHAVtvWpmWZLsg+Rof43puKgacE79E0ijoHlxn2dYFZd6jbZDAEyXze5AXj4j8AMjTeDK3YsjJjcd5Q9eJss5PvexcOtLPDMWyZ3ejGr+B2tTE3NK/cITqnegUGhHL+KMZvjI0pwXZeYOflwSrcaWSMeZ7j9CrLapz5E+2YtSJkfUrM279zEoWjapAotsFkXb/u/Y4+0OfpvjwEmJEL7fc+AWpcGJh8ZXl4lXN4Zc8q79+mw9/5SZoSZWKJmk/jCRaD/4GlIK9WULUibS7OyjwmRB/Bpiremanl1BWQGv6mcFVovMPWRwVkUCCksSrv/eiVRgulViJ40hPRQbX5eihsKnn8CzMJQGATZbSxHTAZgJ0GW8PL72jTSt9p+EoUXupBHY+Zxdy+iCxbrlyo4lKIKsWQ2SqO67bFf7VHYu3YfphwNYB08DsoSfbRLHBbyR1yzSK7FKs2fbCipNya0b+o1QQcUT/q9yjlBxRCLIARxtRjeHmdMXEdOyCNEs3vuBJPUOtrQjNWukR5KvklEzAFd3Lw20a2ZCE2CTSZ1vLc5BtI65KC1p1Vd2ZLlIsnbBJP8b1/CwMIaL3FsIo7AP5SmFzx0tHF8yKjnLS4WYB0wnQ1LSpbDKJOAxjs9I/AxgtrGM+bYhBOuN2p8juFmnlzakepXotBPrre3THE+zTjSgftSbuz/F7Fd1eTnl/TfG0l8j4pqefGSZPnGQ4KEVsWpEfS2IrkLTuT5a4ecHyGw+JmWH2vsZXgeo7nnD8i4/prs8FxALoPnDnR5WEx4RIc82zfjHBP2uFmpSCkbtsYD5NSsu0q+7PBC9+sSIczAmznH6/lEbrTNPtiZY/5CQ2oRr9/AdflR3F54r2UBaFUMRRMDMM7Ydew/BnOBoMvYerEFFk9l6IcUo3+spUlaVu5jbtql4TOhEOe6fxvSEERd+bUdsgx8NkmEu9hkx7XDDUIefSVcwSht2j6aJNegbI08o21zWl7pjqlm968QMmTwK2jlSPGg6+2lM+bqnOPXYnI8HJh5HyKUw+VBTnmmKpKJ9oTKvIlob8zCS9hvxRpScG8eXoTkvy9Sa5TGc9h9lWJN6qZxdyzrsJT7ZTsktZALJtlP/3WtghclwAU0fsLuBLQ7tncJNk22+k8lRR+AtRXVU7OqkwhyOE2f12rBhiJHpBcMX5hPL+RlZPG9j2OZmRQJloIqs7BWbTjcEnBIXrLM4bqryn7S3Vs0InL9WFsV7Srgoh6pg2Uh9qfGnFH2EN2fmO4sFajhBtTywy6B27WxPKR8nPn2vU5RZfZZhGYuf8LCfuz2F/gb6spSo4XBCrgsXnHhKnFf08Y/83z3nnX59K0zRC+9MnfOXfPRXcmNGsP3OKr0yyTWuefKYkv74TPmQHd37ssXgwMou6uByTl+h68AHlvfRLqkoyOOqe9iDDTbQ4ObVAV5RP8e2p6XjyGz3V597n/DN7Ke8RTK0lei6XZpZqtTzQIA91r5LEPH0udfQHeAupmlNBXUFEknSaLqki8yDfJyAeijS61Eak0UqJf2K4cuuxxo8Tiot2Qp/6DZXpWLnJaKqCK0vz0F9YBwnc8Sj+yMlnyVdyJO1nGe2+YXdDjoHVU09xGZg9cCzuOmYPPQdf8cw+CMzvBva+ArP3YXoPZu8biqcGU2tirzGFZJhEE+n2Iu01R7CRrHQcZDv27I4mZjztZry9Oubi4QLTKCYPIvllpDp3El9Xi7nLtFCsZVFuDg27U03IpLIgyoOvkrNzyLDI0ygz20TJ1FhfhRF9rdfz0WPQGlWVxLZDPX4Kt05xFfg0phKeI2AizZEaZ/KmSTPnBGoBaTz2ieFQWkdpHXU/hADEkSmg+4AKhmzVQNsRTg+EvFxJtkS0BnyguXNI9bhFLzdEK7t4OFpgNx2hkI8HoVM04qKMRY5uOoGyuoDqPdPPf0Dse278kgi5lLdcfp3n099wl/eevszkYeTgn2z44LvnRA3ZZs71X9rCr2js8pLyyzv89QPC0RS7rImJD4E10ljcq7Bna8LJPvpCUHT96RwVI32px6bWKKBJPv/ZXZi8s4QQBVQ6VSgiPrkHB3QbRhaHOPGorahIYyIrq5A8AwMI1ki2xJiAPYiCnBorCBUUkVQ5RCRUtjMoHXEOsqpPFo+I99JfCFEKudw6ztvJ6EPoo6ZC1IRDklMbslES7YlMdUv3jHdCq4CrjNDo9mxCsOux8vG5YvFUQoLdxKD7SKFEcBStwpUaWwe6haE+0uhWeI1hZ4Qaveixuae/zAkzz7X9NZrIvtlx7mY8bmc8uZijt4bJ40h1EcguHfmqo75e4XOVWJ6QrxztvqWfyoM/fRAkNyQlcGebSG/UGLIDoH3E9BG78wK/bT5exfB8LAzDq/EevEa1jvwSopGQ2jxB9OysxxeZ2KKHXajVmD2PSdj4LBGjh50s155NKNAJcX7tV3o+/HYrWVhaNokAACAASURBVI1OxpNxPsUtSrJ2JqaqTQ2Zpbt9gGkDukk7MmBqJwi6uiVcn2K3jmgUzXFJdX+d7NcRdzDB7PqrN8VaWMyY/ZOn3P++a9idOBa/9PmXCJ/saD/jWL06Y+8r0sne3VC0hwXTX31PmrKT5MEIMjlgWsnzdnFJDAH74AL6HrXeEvdm0qMoNN1MEp3jGAEvv+uYHtZr/+hMFJq3TgRHd8AYBS/GIHmYVUhn5a25CphJY8hR4KQj9Km6SHblMQo+JFXkkNkADE5FsW1r4TWA7LhBgDh9p8lyR+8NuYr4CJkO1C7jqNwSosYlAcHOS7zdPLXzfSI5DfxHQxgNVYZIu6fJN4F2z1xh01JTr7iMtPsZykO2dSgXIUbsVjgXk3UDPlAuKoqLkubQsu00roL6lY5XX3jMZVfwqNvDZIFF0WBU4Imb04aMVVvRbzPKpSZfB7KN5I64WYYv5CGvnjo5UlRaJhGlNNyDUaMyUneibhzGyiCL/jCKVj6gOy9j+Y9xPR8Lg1ZwsEe8nfzyJnVWlZCZCuuY5h0soNtOJGJtaDIXgm0LqekYk0/Cpbm4CYIk11oyD+oTuWnLM8lVAIjTkvyDp5IWPS0wTUcsc+yqRdUd9Z19qsuaWOTivkTEULoPmLrHVxnZxonYaVYQCkv2UByRFDn+YILxXpKqzze88OMfUL96SnNUUH+qIcsdxa/P2N7xBKsp1pHyS4HLFy1u8gr7P/+uNBVjxN57SpxW+IMJhIh1njiv4MMz2BPEPT7Qnkzp9i2uUknByNgvGJKYj77oxex1esjy0wu2t+RB1a3IfUnWdpXUkQO9SHnAI9qFPrkqvYz1Yin2ZVUb0BFTa1EM9slbQbyqJLSRBVyRKj+IXmHKMNqvtU3KVUT6Lrq2lrrPaLKMxmdC1NaemWkptGPtS+amSaDVK2LS4FkwKrALhvaPLcn/5mJ0KUpzVu4/waNpkRPncmxEQfGkwSx30ty93GAuN1TLCeWDAl8ccPb7Wr7+pQcssoYuGGzhMCZyrVzjo+bCTbnoJ9w9PyB7krH3ViBfe/LzhqgV7ZFEz5VLnypXaBeGfiIiJ8EBguqRrImpLBbNgZYpkpbjh2kj+aWYiaRq/Xjhlc9FjyEazeW/cEJ9a0p7XNGeTGT17iyZEbbfJOvkfFmAL60AWAG88AtASkxgtGnH1GMIUeGcpnxsqI8VrpIy2Ww7/KIY5dGxyIhW0750JE3QpTQhs40TmGjX0x4IY8HtVSgf6Q5L7LpF+UB/IPqC/O6ZZFT0Dn12QcgM5BnKSYMzlgXlBytu/+QK9TTHO0P41hU4helhe11z/inD8jNObtq+B6PR64bY96jeYb78AfbRUtyCZyvUtJJm6bTCHy/GOHQR8SQff5LNhkxwbvOvLEEpti/v0e6lhz9wNY1wV27JoWcwjuyM/O5jHsY8CbIkK270lU8ii5IVkj6OhSRFx0yqCeWvcGmxExNU6DXBS78heE3wGucE6CLkaC0TpyBkp6ntBCCLlslEWgAGwZOInJRIqNE0IUerwA++/DkZeycaEwr6eVLSzhXtQngIrlR0c0M/FcBuLDPp62QZWEssC/TjC7Y3FDevLbkzPee42LDtcvplyeF8yzxLjdEEmWnOSw6+BOXSUzxtaY8rmtOKkEsymAoR0wW6mVQh3Z6iWEnQTLHyZLuQ6N7CeRw4kKaVBaRYSQo7AC7Iz/wxrudiYfClETz2QrO7lrG5YcceQ+Ouippdm+MmyNkwxNSAHLrWIcE9RAwzL1umeSepRk4Uj9laxB6oyOVLuVCP7p4ls9GEUFqa4xK76aSK8VI22mUtHf8YyTaSIN3v5RIx3we5WbSSnkPXC9dhPiUsJsT5lOzNe+xe3kN1jvpaKaPQzQ693vHCzwRCa9g9nrL/8gXL16A5Sl3xu5aL1zQcHxKKqzc2rrcjBDbuUh5GJrmZ0Wo2L04ImcJVivZQXJQhaebljBo5/fknqOUafzij3dfUp0qODv1HJbRRcWUqeiaEJQ5odadHeTC9hsLLw196dPJIDItAtCmpaghrSQsCAwshIuGxw6IQBBA7sBq6zoo+xYlpLkbFzuW03tIHgyFQaAnA9SkpGkATWPtqfE0DJ/JmfkF9qLGNyMXtTiLf+vlVI8+00FcJllIq3CzDLUr84Qxphlj0ZgdZJlqQQo4xbbBcbgWddFTtcMGw8wXLfsIb5zeYfyVj76s7ykc1Zt1KxkcySZkmoPtIuyd6BTdRZNtUCXRXCVTCWUjKVCPiKBWSsrXUNMd5Wsis6Fs+xvVcHCUGLb4KkrMnfvSIsSJLcVGTa8+k6KiLSHsgzSCd3G7e65EyPMl7WmfxQYvbMkWse6/JWoksN7s0zjyekfUyalTBYy52TNctIbcQIrHICIuK7qCgvHcJmSW/J4Tl6v0lYVrIgpAZtAtSSRzPyO6fi8S6gfbFA7JFxeStC9ZffyRVxi1hQbqpJV/33PypHFtHPviefbjdwiojZJrTz3oWb5zLEeThBSPpqnfE2YR4di5Kx9UWf7hA71q644ko4Iwa59q+jOSX0iDM1nD6f7wFztF/+iXOvrFid0Ol0aRiCHNSfdrltaQ9C9EIecBTSG30SqoDgzAM4Iq34JXIn+PVYqKcIhYp9DZVEAwz/yiNZNL/Mzgt2hUTxiDcvjPUKcm8yntab1kUjdCdlNCdshA4ydes3IS5aeix9FGOEXNV00XDZah4MXvKYzen+94Vi/95SruQbn/IUnVlwVdCWba1WJfzdaCfGaJWZJeR/s417JNL4kymQCrA++cHlKbnIK+5fbTEHWhmtqUNlvfqI37hvZexX5xx+xc2Epu3a4kTgQf7SlM9bHCzjGBFpTowFsqnIeHdJPIe5HnZXhOojoid5AiRbVM1kSqPqBVu8fFSbZ+LimFYFNqFlK3dXuLdJSjoEHxaGI+rpHSSBg3jKxi9EUlWmyfbdQRxX1pPtpGSzLRyLhv6AKpJHoPCisx0cyVZVZ3DpOg3PyuIM8koIC0osiAgU4CFZfNiJYCWozms1kQFq9cksm7+xlN0H7EXNdn5jmgUZttTrDzrFwxmp3nhxy12Jzfp/K01ategdx2xKohlTtifyRSn7VBlKQuQUpKNoUUma5pAfaTHlGNTiwNv/kHg5k/eR00r3OsvcvF1Fe3BM2nNSZikBr1CTL/fZ9S0MY+idNyasckIiDsxIhVAVKJ6HMJeh+ZlqhxGs1KUxqUaFoWhMdlpITg7WfBDWvjzokelprIPisK4lG1paLylS923NomcBvZBphwT3Qr/II0yl35Crjx/5JUvEKwi34rkWPgUpCkKKTNVpbBaiZMXzH6Gn1j663uSX4pUo02dM7FyhHllfsZJteHeZp8vnN3k5770GtkXZpx8waE3MkKMeUZ/UOJLQ/mko59n1EeWyxctIVfoTkaTAnyVyiZYhc81Plf4UipC04rXZfC9ZNtAvhTrfXdQXB29v8bruVgYtJOdPFh5kb6QGzN4PWYZLtuKdZuL/3whq7d2jOOwvrejsMnoMKLIh499Esf08+Rpvwxis65bWRAmxf/T3rnGSHJd9/13bj37MTM9z93hLh+7FEValgSGkWwKkm0xsBxbcGx/MBAHhuIAAQTE/mAjHwIJBgzkW5IPgREgsOMgARQgfgWKIUFWogiSYiQwLZkmJZEKRXJJUda+d+fZr+qquvfmw7lVM6slxV1ouTML9AEGU13dPX2mq+rUuef8z/+vsGXrIU2oV3o02gveCCQx0d5UI3wc4buZ8iLmET4xuG6msvGpFgmjrSFiDMl+iU2F0bs2II7ofmcXsZZqvUd+dcqVH18kHtd6gDdKOlcKBt9W7YvRGR3VleEkkK0YzH4QTLEOP5vhT6xQPLwOkWFyZoDNDLsPp6o5EFLMuIAH/2yb5S+8jLu+zeSxE2z/aJfZQDQAhzt6NJMDLdew/m84HBtugraI2GAahDCyLAp4qkQjSyNn5wGv6k2mDPWKMHAE2sEwRQgiTebQmBNspUGhKpXpW/ENCni6PumyW3SYhaBg8C1R7MzHLQ9kQ/lmvZCKJcKRm4rcVGwk++w+HCOhvZeMdTnRAITSofpZd1DlsTTclFJDuRhTLSZMNjsUazmzZSGKLYtJwWa+x/35jnbFZilbr6yy8HzG2vPa4fB5rKzdixlVPw5cpx6bG5KJgvjqLi1PRjTTO7+pvf5U2lVpWpgNjLoZnjKVBpN6IbCn7x4SPLqVa/K2Xv02mdQKSVUxEz0o2ZahKmL2i4xRmSknA7Q8e8Ugohm5907I04qyjlo2J6UHi4kCu7AIjO8TupdE4b8eXSOmifIV1E6XDRs9ZHcYHFPxlXhYUq33VLshMpDESK1Q2vNPJUjlKNc7zBYVLzB+56piI9YHxBe3KZeE3qs7TB5cxPUyzn1sjfS7W9QLKZtfuc7wgZzlVyqSvOblf5JTd+CBP99jtmRwSz38ZIJc2UYmWrnGOW1fWodc2Sb/zhbVSlfZmdYiokrvHCefHnH2j69x+lMvIbOSyY89zOWPvYeddyZMNiTQh/n2e7VZs007ZSi1HASDWEV7fO4O4M/GQ2kOzVH4Q8dVoBm7jhrBmvAZASbt0wAnbt52KDuhFnxtFCLuoa4iokiZnWZ1hBHI4rqVGRjWmepb2oyJ1SJkIpahy1sVbICFaNpmDgtmiv2pPYwN6EGjA0tmptnDbKBLsoag2OYoinRBW8GzpYjZkmGyETFTiEoroXdxNuD1/RUmX19h8/94Tn51Qn51Sn5tiu0kFCe7TE/k2hKvHNVCwvhExN6ZmLoL2ZYn2/Vke4pHiCeWaOqouoZiWYWVEQ6o3XoSdEtU+NmULhRVtf51O3Y8AoN1GKtruWzbk21Dsg/MIiZFRmwc3aTUdmRg0kmmviXQaBiHO2ml7E3GteCX0kaUtcqt2ww61x3iof/avq7XncMtdLALGWZ/SjSucKuLmMoisxKqGilqyoVEC5DW6fp90FHwSLgQoqklLjzFirB3JoY0UXh0EjM4V1Gt9ek+fQ6pHQuvw8WPniYaV0ihkXz3bKIsTt2aqIB6KWPta1uUaz0lMD29rmCm4VgRj9bCyTWk29EiZ6xLh7Xn9lh/eocTX75I9Mp5Vb9+aJOd928wOh0rz0JHIdEu1bu6zTyzjbrlXnAB/3+AGqMFMElp9IINQeNgBsK3LeSGtMXnNiAbFSnp48NXfTj2M9PSpim60h1ApgVlbz70tqaelMUWCTeARsKuUauKxNONSqw37IWiY+njNnOYuEwZlQK704fvP0c0c3S2XFugNTbI8pWa0WoREO2axBpEqh5M10y7FI6nYOuI8+MB56fLvDZc5cJ3Vxm87ElGlmI9ZbaW49KIuhsF+javdafFmOlaxGxFA27d1SJivmuJC0c8rttla9VRdGrTgm4GSk2lBfl4XBMVVjMR6xXMd5tksMei+IiH3sWSuhMxORHrjHlA2oHWDWZWSTlc11IuGfLdECm9AmJmVUyeVlTOqB6FU1HUpkZRp4b9FUd+vaJuBGz7XczWripPTQIdvPP4NKbY6NApAseDc2w/FvPA8/u4pZ7K16UxZlqTXddZBDOrGd3XaXUYzv/CKTaenVKvL9J78Srnf/EUp14A+e4l1mPDd35pgf139FiqHJ1rFcVypsQpOym7H5ky+D1R2PNJXU6YURATWB3ga5W4ZzQFI5idIdnWPtkrDre6iF3MqAc5xeMnmayrzNx4Uy+0uhNmIELa2Zxc0UjZiZWaPGAIaqFuMgqrmVmzrPBBx1ECY3SLRajMDbyIhFqClOZAPdrojIWEZQoEVGTutHhpPGSBvWumStliPGKc6l2KoTYBp5I6InQuppuV7My6mGzMtXKBQTxpx7G7pmxnJwyuJW9JxPJo9zIvuPcizutYc4NwNB6XC2WqGUOdB26E5KDta3MFGKmUH8Sv55ybnuS18SnyK4aN85r2I6pUVfUMVb/Tzvxk2xWzlQSbau3AlPo3l15zdC9XQVBGlwXeeurFiLqnsoKt0PBEA1hUQP9CCZFgRiUpCi6LhyqCdDt2SxmDiLwuIs+LyNdF5Jmwb0VEvigir4Tfy2G/iMi/E5FzIvJNEXniLT8gMpjSkl+dKGHInqdzXWca6ipiWGTtzANOqLvasrFpuFt5dJbCC1ngCHReiMSRx0oRVtYRbqEmqhzZvsOPp7h+iu918InWGBqqN1C02+xkT7MGAs1W6FT4bkax3sF1AnqyspjSkoz9oZMFkqtDotcucunv34fNYfzBR5Bel9lqztk/3WHnUUO5mpNuFfSuWtIdYellQ/5sl4s/0cGeXiea1soG5bTrIcMgnxcmQn2hbNTV/avY+1bZffeA8ekOu490KAZa1Z6F4am66zFW2jS54QAAWu5CnELNJXQgTE3LQ6DEJCYg7gy+43S6MHUtGYuP3cGA1WEat8UGbKO1CJ827NJOZ1hy1xYmG7BUS9JVmXbsHhSfUtmIyPi2nZ1EltLGdOOSmYtJTc3EpYysVuNHNqfyUeBZ1CKkMjw5lqIxxUrUYhrqTmjxxnrBN3floE6PqXxLkNJ8f0obr7Wh/ssJvb815Nu+pXwrF3XJUXdCratrAlGroc5EM5Jc26TJWMFLPpJAeqz1hdlaymRNdVsbCjhT0dLMA+3EsctiTFFhZhYp69uelbidpcRT3vvHvffvC48/AXzJe/8I8KXwGODngEfCz8eB33vLv+w90aTCDAvyHRvSH99+6UY8/aRspe1tTov4EgeUhtoZyjBw0xQeR2XWMgABSKJRGoC1AdH2GJlVuIEWGqWq8SLYTqJwWIc+V1Z6wpxaweyMkNqR7czYeneX/gUVcTHXduldUTry2aqjXPawtYN0Opx4epdkHy48pX4ko5qrH1jmzKe3iWaOnfcs0r1YkIxgeNax+ZdjvIGdx/pE45DJVDVMpvhi1gYFt9TH3bfO5OwyxUbGzmMqaV+EgaliXU/wQDeoQdToEowwgddQfxmrF60yC4e+eLfBitDWGrzRuoDrhWWCR2sLkT/oRISCsK+07kAl+FmoKcQeSd2NEvKNqEvkW6IXBHwRIYeo1rwz1GXczlCATtKWNlKy2DolNqpGtVd1qAO/YlNPqLyS+eSmYt91SKQOHA4pu482YrSQ7TniSegGNIRTqX5HSvjatIFpBXvqXN9rKu0QNJBkRDkbi4FQ9fRmZlPtGmixXQNSuSTYjpCMYOF8KBoEXk+XGMQ66sy0IkB194CENt0HM4Ns6Kh7EaayRJMK29fCo0+VYex27IepMfwi8Kmw/Snglw7t/y9e7a+AgYhsvtUf85EwPbtCulvRu1QSFx5TapX30bWr/MjgMk+sfY+107u61nW6pnVJIPwILD/OC8vZBIBeUpKamjSyOGc4/ekYU1jSvZpqrY/r5YG3oGpbRz6PEevoXClI9mfIrKJeX+T0l4ZceX8fsQ4pSqLtMZOTwvJzW8j2HhhDfq0kmgnv+MMh5YmKnY88ApFBKqtZRO7Z+qn7Mc+8yIk/+hbbjy/z6j9MWX5+n+TCdsBYCOef6rHxbMXKN3d1iZPEqqWZJLA2gLJSHkfvsb2EaiGiWIoUp78uzJaFyWZYhzYnbldrCjYUrHwU5O3rUIFvZC9jKFctppQDSrbUY4pQWBRdPkihytYNUUm7lGgAS64pXoaW5mEm6MrAQt12IXxuA7pSFFmZhIKleCTWmoOrDbY2xIltQU+zOsI6YVoq2MnguTAeUNik5WqYuZiJSylcEkhjY8ZOqeSrIIqbS8nJJy+R7tV6Fw/jzg2aUCxt5mBTqIPmQ/OaRgQGOZhXEKfdAR/pMSmXpB17t4kErIne4OquLgV6Fx39i5Zk32IOMS4Z6xifypmuGup+0yHRuZe4UNBTZ1uHsLrfG4HzUDvi3YJoOCO6tN1KFN6q3Wpg8MD/EpG/EZGPh30nvPeXAMLvjbD/FPC9Q+89H/bdYCLycRF5RkSeKesJiJBdm+BjaS9em3sG/SmP9q+wloxYjie8e+0S/qTeRV0U7maxuyEzGFcZSWRxCIVVWvnZJKHqGh1q8p7kyr72/isVe5Ur2+AcZlpRLqXKLRkbZhs9nZq8PiTfOUjHpKwoHiiZnBngqwq31KdajAMAKCK5lnDlA5765ACqmu4VR+/1SAtaDz8IQP98yeZfwLlfXcD3u2w8W7D6gsd2PfHUYraHTB9e1S6JMdoRqWrc8iJS1tiFjHKQUoXUtwE0NcHA1LQFQfHaljRVeD7MRLgwjNNAoV0cAGBe3yS1Pvbxgdy9T7Ro6ROvSlQhiEhlFCUZ+wO9yoVKL/IG2Zg4JLWaQUR68XP4fca3qtNEHlfoxGWLcRAVqmlPYNGJ2qZrFYujsJohzFzM1KZ0TcksFB6HLtdpXRzbdZ/L9RKpWD608So2My2qMB1qdtmQ5saTUH+BG0hmCN+ll6CU5rihzVjniiGpOwfdA3HaVRtvKGO3F8i3HcnY0b2oFIIApnSMTsVU/ZjJRqTZX9+3OiCmoiXdSUaOeBomKZ3H9dO2buYHC1TrvTe9uN/IbjUwfNB7/wS6TPgNEfnJH/BaeYN9N5VEvfd/4L1/n/f+fWnUBesxexOSLb3bm0qVp072hkxs2mLMY3GsrwwVqBSET3x9sIyYVgkOXYNOq4SdoqPCNYMJu48YxqeCynFZUa/0sJsryMwiaYrUStjauTjSNK6bgBEmmxk+Miw/v4cfTfB5esO0mvR7SFVjU4OxMFvOWP2mx+eO4UNd8J7Vpy+TjDzD04a9H11GlhbJX7tGvl2TbRmuv38FcZ7ehYLOFWG8mXLxHzzAeDPBLy8q8/RIVY3EWsqTC0w2O9RdE9LKpmBI6BSELCBUzHVeXy/ouAikozN9T3P3wzQnmy4NlH1Ij57raB1ArBCNTQuJbkFQogCppmvRICF9Q7Ia0JKtqnRYLigc81B9waNBJVJfTW51f5iObQqjUXSAVWnYnUBRss4LRehQGHHs1zmJ6I0CdHYCVMqua/RO+s78EsPTMekowJEHRvU3Al17U6S1WQvBaPUaGtHYqDgoBrpE6wWzZQ0sh5Wr2/H2kPUa24xz67lTd6KAY4joX6qpehHFeuCDjA8+P56q4lQy8XQuT5SlyXrtUEVGVdFqi8tjqt7t9RluKTB47y+G31eBPwN+DLjSLBHC76vh5eeB+w+9/TRw8Qd+gIApa3wvp17q6MRipixHD/evMbUpkTgSY3FeWOlMKBf9QfpbGaLIkQZNiVGZtifKUlYwLRMqG2G7nnJBSK+O8Z2M+PqQ6OoudilX+HO/iykdMi7AOaJpzf6DCdmepTw9wGUx4yfPUA86+DRh9WklQfFpQrWxoKIgDjoXhoEA1XD5Qx7fy3H9vMW7L/2/XYZ/9z7cUo+9h1JOf2VE/3xJ+vIlJpsZ3St69/ARXHtSUZbS6yBxDFGE62XUuVKwVR1FO0oICIfZe3zTZvSKfvSiwaLJGHzkg+6hbzOK5q4otVD3ldTU9pWQxYQhJx8Cjk90n28vWgL9G3qhN8HACowSJNV2my9Vhs2kFlKnQaNhl/ZyAHKyOiMRxY4kV01PxCvVvBcmRca4SBXy7gx7s5xYHHGrju2YWl1nN+PWzpt2SdFMXpY+YuIyhk9N2u+vs+VIgsqTKUPAEr3om1kSU6NCtqE71k5pLuqSo+rr81XgjhR7QMUmXt8fT6B7zRKVnjozuEwUKJdroJiuxAxPG1ziKVdcYIRWBqdo6kmmjnTPKnHQtT2inSFmqgrn1XLO5OFltt+zSLFyh3EMItITkYVmG/gZ4AXgs8CvhZf9GvCZsP1Z4B+H7sSTwF6z5HhT8x5mpcKPpxUuj8muT0l3opb6e2iVj2BsVVfAJRpp1cmDhKQRm4mMo5NUWG9IY0tRJCyeU6GOVv3ZOl2vpwpamjy0SLI9odoctLyKnS0FicyWE6LtEeluRd1PGD2yxNLrJVHhFbOQNNmCx+xPKJaFBz6vRbYLP72MzGqSiWN6wlMv5iw8dwlzfY9817H3ji7JqIJOztJzV+ldKJhsRHSvORZfjPn2b67r1OSpNSbvWGZ4pke1oEWrZnjGR2GYxtDqEoBmCY0obTNg0xYg4QZgkRws+/WibwRsQzehwSqIQ+n9A026eDnQqIy0s4GgAaE2yvQUeXyho9gSeBdcpdpufhq1wcDkdShY6sK9nsTKIB2ed87oUFWQssuSGydqHcK0TpjUKVl7gsB+UK5KxJKbionLiMRT+ERxD2bGT5x5tVVvqnMtFqZDT2e7Se2bzoN+TzZrRH99u3xojkE58MxWXEvTb2rCJORBmz3bc3Sv14gN0OtUdLkbSFeKQdQigV0EjShw3fXEY+WMSIaW/JpC7O3yAm6xCyJgBJtF2m1JVK3qduxWMoYTwP8VkW8AXwP+3Hv/P4F/BXxERF4BPhIeA3weeA04B/xH4NdvyZM0UTo1I0TbY3COZAhXCy2pRzgqF9GJdEgq22kgo9oWq6pYIa+REsEq8tYHlmhPllUgkIwsMq101gHAGOo8gsvX9XFtqRbjFjEWjy0u1ZaSG/SYbqRsP5Zy/mc0zez+7T6TBxdDu9Iqq5R15DtaMT7zmZLRewvK+xbpXCmpHyxILu/iFnq4tSUWX9yhe7li/0xXYdPDMfGoZPggLP/VRTaenfLA5x2vfGwFHxnKviIby76063adc1D3m/66qnkd1A5AU9pmEs9UtK00CSS7LpzoGFq0Y8vhGNHK2ovV10stNywSfeQP5ieamkATHECzAhs6FA6tYUQe6dg2mLhZRLSgx0plCQUT6fFrhupEtBvRoF3jyBEFJq9ZHeMQYnHslJ1Wum7mEvbqTjuWXfmIwiXkUhHhcBge61/i2uMx+w8Yqs4BCW4xkHYOId3XjKDueOqub4OBWAWNeaPdHJv79obVKEwlIx+WcJ6F71Wk+1bJdBZM28Goc60TRaUKFPYnZAAAA+ZJREFU/thU2/OmPpRljHVAKtuzpHuKUZDtPaLtfWSmE7bFWs50NaLq6UxR3b29wCDe+7d+1dtsIjIEXjpqP27R1oDrR+3ELdi94ifcO77eK37CG/v6oPd+/VbefDyQj/DSIXzEsTYReeZe8PVe8RPuHV/vFT/hh/f1WMxKzG1uczteNg8Mc5vb3G6y4xIY/uCoHbgNu1d8vVf8hHvH13vFT/ghfT0Wxce5zW1ux8uOS8Ywt7nN7RjZkQcGEflZEXkpjGl/4q3f8bb68p9F5KqIvHBo350bL7+zvt4vIl8RkRdF5Fsi8pvH0V8RyUXkayLyjeDnvwz7z4jIV4OffyIiadifhcfnwvMP3Q0/D/kbichzIvK5Y+7n20uF4L0/sh+U4uNV4CyQAt8A3nWE/vwk8ATwwqF9/wb4RNj+BPCvw/ZHgf+BQoCeBL56l33dBJ4I2wvAy8C7jpu/4fP6YTsBvho+/0+BXwn7fx/4Z2H714HfD9u/AvzJXf5e/znwh8DnwuPj6ufrwNr37btjx/6u/SNv8s99APjCocefBD55xD499H2B4SVgM2xvopgLgP8A/KM3et0R+f0ZFIF6bP0FusCzwI+j4Jv4+88D4AvAB8J2HF4nd8m/0yi3yN8DPhcupGPnZ/jMNwoMd+zYH/VS4pZGtI/Yfqjx8rthIY39O+jd+Nj5G9Lzr6ODdl9Es8Rd732jm3bYl9bP8PwesHo3/AR+F/gXHAxWrx5TP+FtoEI4bEeNfLylEe1jasfCdxHpA58Gfst7vy/yppj4I/PXe2+Bx0VkgE7n/sgP8OVI/BSRnweueu//RkQ+fAu+HPXx/6D3/qKIbABfFJFv/4DX3ravR50x3P6I9t23OzdefodNRBI0KPxX7/1/D7uPrb/e+13gf6Pr3IGINDemw760fobnl4Dtu+DeB4FfEJHXgT9GlxO/ewz9BN5+KoSjDgx/DTwSKr8pWsT57BH79P1258bL76CJpgb/CXjRe/9vj6u/IrIeMgVEpAP8NPAi8BXgl9/Ez8b/Xwa+7MPC+O007/0nvfenvfcPoefhl733v3rc/IS7RoVwNMWyQ4WQj6IV9VeB3z5iX/4IuARUaJT9p+i68UvAK+H3SnitAP8++P088L677OuH0HTwm8DXw89Hj5u/wHuB54KfLwC/E/afRcf4zwH/DcjC/jw8PheeP3sE58GHOehKHDs/g0/fCD/faq6bO3ns58jHuc1tbjfZUS8l5ja3uR1DmweGuc1tbjfZPDDMbW5zu8nmgWFuc5vbTTYPDHOb29xusnlgmNvc5naTzQPD3OY2t5tsHhjmNre53WT/H8rNEB/BprTyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a259292e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(srcImg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 197,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 使用pca进行压缩\n",
    "# 奇异值分解\n",
    "from sklearn.utils.extmath import randomized_svd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 201,
   "metadata": {},
   "outputs": [],
   "source": [
    "U, sigma, VT = randomized_svd(srcImg, n_components=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 204,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a83828ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(20):\n",
    "    new_src += sigma[i] * U[:, i].reshape(-1, 1).dot(VT[i].reshape(1, -1))\n",
    "    plt.imshow(new_src)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((512, 15), (15, 512))"
      ]
     },
     "execution_count": 186,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U.shape, VT.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 同样，还可以去除噪声"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
